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Finding the Fourth Proportional to 702.61, 1,052.41 and 570.24

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Solution

The fourth proportional to 702.61, 1,052.41 and 570.24 is: 854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.61 : 1,052.41 = 570.24 : x
  2. Step 2: Convert to fraction form
    702.61/1,052.41 = 570.24/x
  3. Step 3: Cross multiply
    702.61x = 1,052.41 × 570.24
  4. Step 4: Simplify right side
    702.61x = 600,126.28
  5. Step 5: Solve for x
    x = 600,126.28/702.61
  6. Step 6: Final answer
    x = 854.14

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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.