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Finding the Fourth Proportional to 735.71, 1,101.14 and 475.04

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Solution

The fourth proportional to 735.71, 1,101.14 and 475.04 is: 711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.71 : 1,101.14 = 475.04 : x
  2. Step 2: Convert to fraction form
    735.71/1,101.14 = 475.04/x
  3. Step 3: Cross multiply
    735.71x = 1,101.14 × 475.04
  4. Step 4: Simplify right side
    735.71x = 523,087.70
  5. Step 5: Solve for x
    x = 523,087.70/735.71
  6. Step 6: Final answer
    x = 711.00

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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.