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Finding the Fourth Proportional to 762.71, 1,051.97 and 737.28

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Solution

The fourth proportional to 762.71, 1,051.97 and 737.28 is: 1,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.71 : 1,051.97 = 737.28 : x
  2. Step 2: Convert to fraction form
    762.71/1,051.97 = 737.28/x
  3. Step 3: Cross multiply
    762.71x = 1,051.97 × 737.28
  4. Step 4: Simplify right side
    762.71x = 775,592.76
  5. Step 5: Solve for x
    x = 775,592.76/762.71
  6. Step 6: Final answer
    x = 1,016.90

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Why These Related Problems?

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