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Finding the Fourth Proportional to 702.56, 1,053.12 and 291.94

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Solution

The fourth proportional to 702.56, 1,053.12 and 291.94 is: 437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.56 : 1,053.12 = 291.94 : x
  2. Step 2: Convert to fraction form
    702.56/1,053.12 = 291.94/x
  3. Step 3: Cross multiply
    702.56x = 1,053.12 × 291.94
  4. Step 4: Simplify right side
    702.56x = 307,446.31
  5. Step 5: Solve for x
    x = 307,446.31/702.56
  6. Step 6: Final answer
    x = 437.61

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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.