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Finding the Fourth Proportional to 1,165.64, 1,748.51 and 580.92

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Solution

The fourth proportional to 1,165.64, 1,748.51 and 580.92 is: 871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.64 : 1,748.51 = 580.92 : x
  2. Step 2: Convert to fraction form
    1,165.64/1,748.51 = 580.92/x
  3. Step 3: Cross multiply
    1,165.64x = 1,748.51 × 580.92
  4. Step 4: Simplify right side
    1,165.64x = 1,015,741.52
  5. Step 5: Solve for x
    x = 1,015,741.52/1,165.64
  6. Step 6: Final answer
    x = 871.41

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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.