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Finding the Fourth Proportional to 736.98, 1,016.78 and 457.11

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Solution

The fourth proportional to 736.98, 1,016.78 and 457.11 is: 630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.98 : 1,016.78 = 457.11 : x
  2. Step 2: Convert to fraction form
    736.98/1,016.78 = 457.11/x
  3. Step 3: Cross multiply
    736.98x = 1,016.78 × 457.11
  4. Step 4: Simplify right side
    736.98x = 464,780.78
  5. Step 5: Solve for x
    x = 464,780.78/736.98
  6. Step 6: Final answer
    x = 630.66

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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.