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Finding the Fourth Proportional to 1,553.84, 2,329.95 and 458.06

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Solution

The fourth proportional to 1,553.84, 2,329.95 and 458.06 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.84 : 2,329.95 = 458.06 : x
  2. Step 2: Convert to fraction form
    1,553.84/2,329.95 = 458.06/x
  3. Step 3: Cross multiply
    1,553.84x = 2,329.95 × 458.06
  4. Step 4: Simplify right side
    1,553.84x = 1,067,256.90
  5. Step 5: Solve for x
    x = 1,067,256.90/1,553.84
  6. Step 6: Final answer
    x = 686.85

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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.