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Finding the Fourth Proportional to 1,397.48, 2,096.42 and 472.86

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Solution

The fourth proportional to 1,397.48, 2,096.42 and 472.86 is: 709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.48 : 2,096.42 = 472.86 : x
  2. Step 2: Convert to fraction form
    1,397.48/2,096.42 = 472.86/x
  3. Step 3: Cross multiply
    1,397.48x = 2,096.42 × 472.86
  4. Step 4: Simplify right side
    1,397.48x = 991,313.16
  5. Step 5: Solve for x
    x = 991,313.16/1,397.48
  6. Step 6: Final answer
    x = 709.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.