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Finding the Fourth Proportional to 1,508.17, 2,262.47 and 468.25

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Solution

The fourth proportional to 1,508.17, 2,262.47 and 468.25 is: 702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.17 : 2,262.47 = 468.25 : x
  2. Step 2: Convert to fraction form
    1,508.17/2,262.47 = 468.25/x
  3. Step 3: Cross multiply
    1,508.17x = 2,262.47 × 468.25
  4. Step 4: Simplify right side
    1,508.17x = 1,059,393.58
  5. Step 5: Solve for x
    x = 1,059,393.58/1,508.17
  6. Step 6: Final answer
    x = 702.44

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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.