Home / 1,126.24-1,687.60-735.55

Finding the Fourth Proportional to 1,126.24, 1,687.60 and 735.55

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Solution

The fourth proportional to 1,126.24, 1,687.60 and 735.55 is: 1,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.24 : 1,687.60 = 735.55 : x
  2. Step 2: Convert to fraction form
    1,126.24/1,687.60 = 735.55/x
  3. Step 3: Cross multiply
    1,126.24x = 1,687.60 × 735.55
  4. Step 4: Simplify right side
    1,126.24x = 1,241,314.18
  5. Step 5: Solve for x
    x = 1,241,314.18/1,126.24
  6. Step 6: Final answer
    x = 1,102.18

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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.