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Finding the Fourth Proportional to 1,165.32, 1,746.90 and 515.70

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Solution

The fourth proportional to 1,165.32, 1,746.90 and 515.70 is: 773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.32 : 1,746.90 = 515.70 : x
  2. Step 2: Convert to fraction form
    1,165.32/1,746.90 = 515.70/x
  3. Step 3: Cross multiply
    1,165.32x = 1,746.90 × 515.70
  4. Step 4: Simplify right side
    1,165.32x = 900,876.33
  5. Step 5: Solve for x
    x = 900,876.33/1,165.32
  6. Step 6: Final answer
    x = 773.07

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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.