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Finding the Fourth Proportional to 753.28, 1,038.90 and 491.38

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Solution

The fourth proportional to 753.28, 1,038.90 and 491.38 is: 677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.28 : 1,038.90 = 491.38 : x
  2. Step 2: Convert to fraction form
    753.28/1,038.90 = 491.38/x
  3. Step 3: Cross multiply
    753.28x = 1,038.90 × 491.38
  4. Step 4: Simplify right side
    753.28x = 510,494.68
  5. Step 5: Solve for x
    x = 510,494.68/753.28
  6. Step 6: Final answer
    x = 677.70

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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.