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Finding the Fourth Proportional to 1,158.57, 1,730.60 and 765.32

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Solution

The fourth proportional to 1,158.57, 1,730.60 and 765.32 is: 1,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.57 : 1,730.60 = 765.32 : x
  2. Step 2: Convert to fraction form
    1,158.57/1,730.60 = 765.32/x
  3. Step 3: Cross multiply
    1,158.57x = 1,730.60 × 765.32
  4. Step 4: Simplify right side
    1,158.57x = 1,324,453.18
  5. Step 5: Solve for x
    x = 1,324,453.18/1,158.57
  6. Step 6: Final answer
    x = 1,143.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.