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Finding the Fourth Proportional to 1,283.12, 1,924.49 and 358.58

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Solution

The fourth proportional to 1,283.12, 1,924.49 and 358.58 is: 537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.12 : 1,924.49 = 358.58 : x
  2. Step 2: Convert to fraction form
    1,283.12/1,924.49 = 358.58/x
  3. Step 3: Cross multiply
    1,283.12x = 1,924.49 × 358.58
  4. Step 4: Simplify right side
    1,283.12x = 690,083.62
  5. Step 5: Solve for x
    x = 690,083.62/1,283.12
  6. Step 6: Final answer
    x = 537.82

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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.