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Finding the Fourth Proportional to 1,248.68, 1,723.87 and 751.44

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Solution

The fourth proportional to 1,248.68, 1,723.87 and 751.44 is: 1,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.68 : 1,723.87 = 751.44 : x
  2. Step 2: Convert to fraction form
    1,248.68/1,723.87 = 751.44/x
  3. Step 3: Cross multiply
    1,248.68x = 1,723.87 × 751.44
  4. Step 4: Simplify right side
    1,248.68x = 1,295,384.87
  5. Step 5: Solve for x
    x = 1,295,384.87/1,248.68
  6. Step 6: Final answer
    x = 1,037.40

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Why These Related Problems?

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