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Finding the Fourth Proportional to 762.66, 1,144.53 and 756.54

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Solution

The fourth proportional to 762.66, 1,144.53 and 756.54 is: 1,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.66 : 1,144.53 = 756.54 : x
  2. Step 2: Convert to fraction form
    762.66/1,144.53 = 756.54/x
  3. Step 3: Cross multiply
    762.66x = 1,144.53 × 756.54
  4. Step 4: Simplify right side
    762.66x = 865,882.73
  5. Step 5: Solve for x
    x = 865,882.73/762.66
  6. Step 6: Final answer
    x = 1,135.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.