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Finding the Fourth Proportional to 1,112.93, 1,534.43 and 734.76

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Solution

The fourth proportional to 1,112.93, 1,534.43 and 734.76 is: 1,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.93 : 1,534.43 = 734.76 : x
  2. Step 2: Convert to fraction form
    1,112.93/1,534.43 = 734.76/x
  3. Step 3: Cross multiply
    1,112.93x = 1,534.43 × 734.76
  4. Step 4: Simplify right side
    1,112.93x = 1,127,434.11
  5. Step 5: Solve for x
    x = 1,127,434.11/1,112.93
  6. Step 6: Final answer
    x = 1,013.04

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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.