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Finding the Fourth Proportional to 756.65, 1,132.80 and 512.74

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Solution

The fourth proportional to 756.65, 1,132.80 and 512.74 is: 767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.65 : 1,132.80 = 512.74 : x
  2. Step 2: Convert to fraction form
    756.65/1,132.80 = 512.74/x
  3. Step 3: Cross multiply
    756.65x = 1,132.80 × 512.74
  4. Step 4: Simplify right side
    756.65x = 580,826.21
  5. Step 5: Solve for x
    x = 580,826.21/756.65
  6. Step 6: Final answer
    x = 767.63

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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.