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Finding the Fourth Proportional to 1,143.55, 1,578.87 and 751.24

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Solution

The fourth proportional to 1,143.55, 1,578.87 and 751.24 is: 1,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.55 : 1,578.87 = 751.24 : x
  2. Step 2: Convert to fraction form
    1,143.55/1,578.87 = 751.24/x
  3. Step 3: Cross multiply
    1,143.55x = 1,578.87 × 751.24
  4. Step 4: Simplify right side
    1,143.55x = 1,186,110.30
  5. Step 5: Solve for x
    x = 1,186,110.30/1,143.55
  6. Step 6: Final answer
    x = 1,037.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.