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Finding the Fourth Proportional to 736.80, 1,017.12 and 442.56

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Solution

The fourth proportional to 736.80, 1,017.12 and 442.56 is: 610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.80 : 1,017.12 = 442.56 : x
  2. Step 2: Convert to fraction form
    736.80/1,017.12 = 442.56/x
  3. Step 3: Cross multiply
    736.80x = 1,017.12 × 442.56
  4. Step 4: Simplify right side
    736.80x = 450,136.63
  5. Step 5: Solve for x
    x = 450,136.63/736.80
  6. Step 6: Final answer
    x = 610.93

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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.