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Finding the Fourth Proportional to 1,170.72, 1,753.47 and 735.75

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Solution

The fourth proportional to 1,170.72, 1,753.47 and 735.75 is: 1,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.72 : 1,753.47 = 735.75 : x
  2. Step 2: Convert to fraction form
    1,170.72/1,753.47 = 735.75/x
  3. Step 3: Cross multiply
    1,170.72x = 1,753.47 × 735.75
  4. Step 4: Simplify right side
    1,170.72x = 1,290,115.55
  5. Step 5: Solve for x
    x = 1,290,115.55/1,170.72
  6. Step 6: Final answer
    x = 1,101.98

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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.