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Finding the Fourth Proportional to 1,348.76, 1,858.29 and 1,011.14

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Solution

The fourth proportional to 1,348.76, 1,858.29 and 1,011.14 is: 1,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.76 : 1,858.29 = 1,011.14 : x
  2. Step 2: Convert to fraction form
    1,348.76/1,858.29 = 1,011.14/x
  3. Step 3: Cross multiply
    1,348.76x = 1,858.29 × 1,011.14
  4. Step 4: Simplify right side
    1,348.76x = 1,878,991.35
  5. Step 5: Solve for x
    x = 1,878,991.35/1,348.76
  6. Step 6: Final answer
    x = 1,393.13

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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.