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Finding the Fourth Proportional to 928.73, 1,281.66 and 509.07

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Solution

The fourth proportional to 928.73, 1,281.66 and 509.07 is: 702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.73 : 1,281.66 = 509.07 : x
  2. Step 2: Convert to fraction form
    928.73/1,281.66 = 509.07/x
  3. Step 3: Cross multiply
    928.73x = 1,281.66 × 509.07
  4. Step 4: Simplify right side
    928.73x = 652,454.66
  5. Step 5: Solve for x
    x = 652,454.66/928.73
  6. Step 6: Final answer
    x = 702.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.