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Finding the Fourth Proportional to 1,358.24, 2,037.35 and 627.82

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Solution

The fourth proportional to 1,358.24, 2,037.35 and 627.82 is: 941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.24 : 2,037.35 = 627.82 : x
  2. Step 2: Convert to fraction form
    1,358.24/2,037.35 = 627.82/x
  3. Step 3: Cross multiply
    1,358.24x = 2,037.35 × 627.82
  4. Step 4: Simplify right side
    1,358.24x = 1,279,085.55
  5. Step 5: Solve for x
    x = 1,279,085.55/1,358.24
  6. Step 6: Final answer
    x = 941.73

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