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Finding the Fourth Proportional to 702.72, 1,052.28 and 458.04

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Solution

The fourth proportional to 702.72, 1,052.28 and 458.04 is: 685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.72 : 1,052.28 = 458.04 : x
  2. Step 2: Convert to fraction form
    702.72/1,052.28 = 458.04/x
  3. Step 3: Cross multiply
    702.72x = 1,052.28 × 458.04
  4. Step 4: Simplify right side
    702.72x = 481,986.33
  5. Step 5: Solve for x
    x = 481,986.33/702.72
  6. Step 6: Final answer
    x = 685.89

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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.