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Finding the Fourth Proportional to 762.41, 1,149.32 and 712.29

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Solution

The fourth proportional to 762.41, 1,149.32 and 712.29 is: 1,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.41 : 1,149.32 = 712.29 : x
  2. Step 2: Convert to fraction form
    762.41/1,149.32 = 712.29/x
  3. Step 3: Cross multiply
    762.41x = 1,149.32 × 712.29
  4. Step 4: Simplify right side
    762.41x = 818,655.23
  5. Step 5: Solve for x
    x = 818,655.23/762.41
  6. Step 6: Final answer
    x = 1,073.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.