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Finding the Fourth Proportional to 749.72, 1,125.02 and 475.90

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Solution

The fourth proportional to 749.72, 1,125.02 and 475.90 is: 714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.72 : 1,125.02 = 475.90 : x
  2. Step 2: Convert to fraction form
    749.72/1,125.02 = 475.90/x
  3. Step 3: Cross multiply
    749.72x = 1,125.02 × 475.90
  4. Step 4: Simplify right side
    749.72x = 535,395.40
  5. Step 5: Solve for x
    x = 535,395.40/749.72
  6. Step 6: Final answer
    x = 714.12

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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.