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Finding the Fourth Proportional to 736.48, 1,016.66 and 487.36

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Solution

The fourth proportional to 736.48, 1,016.66 and 487.36 is: 672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.48 : 1,016.66 = 487.36 : x
  2. Step 2: Convert to fraction form
    736.48/1,016.66 = 487.36/x
  3. Step 3: Cross multiply
    736.48x = 1,016.66 × 487.36
  4. Step 4: Simplify right side
    736.48x = 495,471.90
  5. Step 5: Solve for x
    x = 495,471.90/736.48
  6. Step 6: Final answer
    x = 672.76

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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.