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Finding the Fourth Proportional to 1,209.39, 1,813.47 and 592.17

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Solution

The fourth proportional to 1,209.39, 1,813.47 and 592.17 is: 887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.39 : 1,813.47 = 592.17 : x
  2. Step 2: Convert to fraction form
    1,209.39/1,813.47 = 592.17/x
  3. Step 3: Cross multiply
    1,209.39x = 1,813.47 × 592.17
  4. Step 4: Simplify right side
    1,209.39x = 1,073,882.53
  5. Step 5: Solve for x
    x = 1,073,882.53/1,209.39
  6. Step 6: Final answer
    x = 887.95

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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.