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Finding the Fourth Proportional to 1,151.29, 1,725.58 and 780.31

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Solution

The fourth proportional to 1,151.29, 1,725.58 and 780.31 is: 1,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.29 : 1,725.58 = 780.31 : x
  2. Step 2: Convert to fraction form
    1,151.29/1,725.58 = 780.31/x
  3. Step 3: Cross multiply
    1,151.29x = 1,725.58 × 780.31
  4. Step 4: Simplify right side
    1,151.29x = 1,346,487.33
  5. Step 5: Solve for x
    x = 1,346,487.33/1,151.29
  6. Step 6: Final answer
    x = 1,169.55

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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.