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Finding the Fourth Proportional to 1,155.92, 1,595.23 and 762.66

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Solution

The fourth proportional to 1,155.92, 1,595.23 and 762.66 is: 1,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.92 : 1,595.23 = 762.66 : x
  2. Step 2: Convert to fraction form
    1,155.92/1,595.23 = 762.66/x
  3. Step 3: Cross multiply
    1,155.92x = 1,595.23 × 762.66
  4. Step 4: Simplify right side
    1,155.92x = 1,216,616.21
  5. Step 5: Solve for x
    x = 1,216,616.21/1,155.92
  6. Step 6: Final answer
    x = 1,052.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.