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Finding the Fourth Proportional to 702.97, 1,054.46 and 461.03

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Solution

The fourth proportional to 702.97, 1,054.46 and 461.03 is: 691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.97 : 1,054.46 = 461.03 : x
  2. Step 2: Convert to fraction form
    702.97/1,054.46 = 461.03/x
  3. Step 3: Cross multiply
    702.97x = 1,054.46 × 461.03
  4. Step 4: Simplify right side
    702.97x = 486,130.12
  5. Step 5: Solve for x
    x = 486,130.12/702.97
  6. Step 6: Final answer
    x = 691.54

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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.