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Finding the Fourth Proportional to 1,165.92, 1,747.70 and 580.02

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Solution

The fourth proportional to 1,165.92, 1,747.70 and 580.02 is: 869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.92 : 1,747.70 = 580.02 : x
  2. Step 2: Convert to fraction form
    1,165.92/1,747.70 = 580.02/x
  3. Step 3: Cross multiply
    1,165.92x = 1,747.70 × 580.02
  4. Step 4: Simplify right side
    1,165.92x = 1,013,698.05
  5. Step 5: Solve for x
    x = 1,013,698.05/1,165.92
  6. Step 6: Final answer
    x = 869.44

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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.