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Finding the Fourth Proportional to 747.33, 1,119.35 and 468.78

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Solution

The fourth proportional to 747.33, 1,119.35 and 468.78 is: 702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.33 : 1,119.35 = 468.78 : x
  2. Step 2: Convert to fraction form
    747.33/1,119.35 = 468.78/x
  3. Step 3: Cross multiply
    747.33x = 1,119.35 × 468.78
  4. Step 4: Simplify right side
    747.33x = 524,732.16
  5. Step 5: Solve for x
    x = 524,732.16/747.33
  6. Step 6: Final answer
    x = 702.14

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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.