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Finding the Fourth Proportional to 1,165.83, 1,748.52 and 532.68

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Solution

The fourth proportional to 1,165.83, 1,748.52 and 532.68 is: 798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.83 : 1,748.52 = 532.68 : x
  2. Step 2: Convert to fraction form
    1,165.83/1,748.52 = 532.68/x
  3. Step 3: Cross multiply
    1,165.83x = 1,748.52 × 532.68
  4. Step 4: Simplify right side
    1,165.83x = 931,405.02
  5. Step 5: Solve for x
    x = 931,405.02/1,165.83
  6. Step 6: Final answer
    x = 798.92

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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.