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Finding the Fourth Proportional to 901.10, 1,243.53 and 542.14

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Solution

The fourth proportional to 901.10, 1,243.53 and 542.14 is: 748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.10 : 1,243.53 = 542.14 : x
  2. Step 2: Convert to fraction form
    901.10/1,243.53 = 542.14/x
  3. Step 3: Cross multiply
    901.10x = 1,243.53 × 542.14
  4. Step 4: Simplify right side
    901.10x = 674,164.54
  5. Step 5: Solve for x
    x = 674,164.54/901.10
  6. Step 6: Final answer
    x = 748.16

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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.