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Finding the Fourth Proportional to 761.97, 1,143.60 and 589.10

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Solution

The fourth proportional to 761.97, 1,143.60 and 589.10 is: 884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.97 : 1,143.60 = 589.10 : x
  2. Step 2: Convert to fraction form
    761.97/1,143.60 = 589.10/x
  3. Step 3: Cross multiply
    761.97x = 1,143.60 × 589.10
  4. Step 4: Simplify right side
    761.97x = 673,691.81
  5. Step 5: Solve for x
    x = 673,691.81/761.97
  6. Step 6: Final answer
    x = 884.14

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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.