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Finding the Fourth Proportional to 702.34, 1,053.07 and 428.96

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Solution

The fourth proportional to 702.34, 1,053.07 and 428.96 is: 643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.34 : 1,053.07 = 428.96 : x
  2. Step 2: Convert to fraction form
    702.34/1,053.07 = 428.96/x
  3. Step 3: Cross multiply
    702.34x = 1,053.07 × 428.96
  4. Step 4: Simplify right side
    702.34x = 451,726.47
  5. Step 5: Solve for x
    x = 451,726.47/702.34
  6. Step 6: Final answer
    x = 643.18

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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.