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Finding the Fourth Proportional to 1,089.29, 1,634.13 and 358.89

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Solution

The fourth proportional to 1,089.29, 1,634.13 and 358.89 is: 538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.29 : 1,634.13 = 358.89 : x
  2. Step 2: Convert to fraction form
    1,089.29/1,634.13 = 358.89/x
  3. Step 3: Cross multiply
    1,089.29x = 1,634.13 × 358.89
  4. Step 4: Simplify right side
    1,089.29x = 586,472.92
  5. Step 5: Solve for x
    x = 586,472.92/1,089.29
  6. Step 6: Final answer
    x = 538.40

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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.