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Finding the Fourth Proportional to 736.77, 1,016.84 and 442

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Solution

The fourth proportional to 736.77, 1,016.84 and 442 is: 610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.77 : 1,016.84 = 442 : x
  2. Step 2: Convert to fraction form
    736.77/1,016.84 = 442/x
  3. Step 3: Cross multiply
    736.77x = 1,016.84 × 442
  4. Step 4: Simplify right side
    736.77x = 449,443.28
  5. Step 5: Solve for x
    x = 449,443.28/736.77
  6. Step 6: Final answer
    x = 610.02

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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.