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Finding the Fourth Proportional to 1,112.76, 1,534.41 and 946.71

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Solution

The fourth proportional to 1,112.76, 1,534.41 and 946.71 is: 1,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.76 : 1,534.41 = 946.71 : x
  2. Step 2: Convert to fraction form
    1,112.76/1,534.41 = 946.71/x
  3. Step 3: Cross multiply
    1,112.76x = 1,534.41 × 946.71
  4. Step 4: Simplify right side
    1,112.76x = 1,452,641.29
  5. Step 5: Solve for x
    x = 1,452,641.29/1,112.76
  6. Step 6: Final answer
    x = 1,305.44

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Find fourth proportional to 556.38, 767.21 and 473.36
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.