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Finding the Fourth Proportional to 1,061.88, 1,593.48 and 736.64

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Solution

The fourth proportional to 1,061.88, 1,593.48 and 736.64 is: 1,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.88 : 1,593.48 = 736.64 : x
  2. Step 2: Convert to fraction form
    1,061.88/1,593.48 = 736.64/x
  3. Step 3: Cross multiply
    1,061.88x = 1,593.48 × 736.64
  4. Step 4: Simplify right side
    1,061.88x = 1,173,821.11
  5. Step 5: Solve for x
    x = 1,173,821.11/1,061.88
  6. Step 6: Final answer
    x = 1,105.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.