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Finding the Fourth Proportional to 736.23, 1,016.14 and 487.56

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Solution

The fourth proportional to 736.23, 1,016.14 and 487.56 is: 672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.23 : 1,016.14 = 487.56 : x
  2. Step 2: Convert to fraction form
    736.23/1,016.14 = 487.56/x
  3. Step 3: Cross multiply
    736.23x = 1,016.14 × 487.56
  4. Step 4: Simplify right side
    736.23x = 495,429.22
  5. Step 5: Solve for x
    x = 495,429.22/736.23
  6. Step 6: Final answer
    x = 672.93

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