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Finding the Fourth Proportional to 747.11, 1,119.15 and 472.23

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Solution

The fourth proportional to 747.11, 1,119.15 and 472.23 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.11 : 1,119.15 = 472.23 : x
  2. Step 2: Convert to fraction form
    747.11/1,119.15 = 472.23/x
  3. Step 3: Cross multiply
    747.11x = 1,119.15 × 472.23
  4. Step 4: Simplify right side
    747.11x = 528,496.20
  5. Step 5: Solve for x
    x = 528,496.20/747.11
  6. Step 6: Final answer
    x = 707.39

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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.