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Finding the Fourth Proportional to 702.73, 1,053.66 and 292.15

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Solution

The fourth proportional to 702.73, 1,053.66 and 292.15 is: 438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.73 : 1,053.66 = 292.15 : x
  2. Step 2: Convert to fraction form
    702.73/1,053.66 = 292.15/x
  3. Step 3: Cross multiply
    702.73x = 1,053.66 × 292.15
  4. Step 4: Simplify right side
    702.73x = 307,826.77
  5. Step 5: Solve for x
    x = 307,826.77/702.73
  6. Step 6: Final answer
    x = 438.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.