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Finding the Fourth Proportional to 1,165.62, 1,748.68 and 580.93

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Solution

The fourth proportional to 1,165.62, 1,748.68 and 580.93 is: 871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.62 : 1,748.68 = 580.93 : x
  2. Step 2: Convert to fraction form
    1,165.62/1,748.68 = 580.93/x
  3. Step 3: Cross multiply
    1,165.62x = 1,748.68 × 580.93
  4. Step 4: Simplify right side
    1,165.62x = 1,015,866.33
  5. Step 5: Solve for x
    x = 1,015,866.33/1,165.62
  6. Step 6: Final answer
    x = 871.53

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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.