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Finding the Fourth Proportional to 1,248.70, 1,723.16 and 744.58

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Solution

The fourth proportional to 1,248.70, 1,723.16 and 744.58 is: 1,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.70 : 1,723.16 = 744.58 : x
  2. Step 2: Convert to fraction form
    1,248.70/1,723.16 = 744.58/x
  3. Step 3: Cross multiply
    1,248.70x = 1,723.16 × 744.58
  4. Step 4: Simplify right side
    1,248.70x = 1,283,030.47
  5. Step 5: Solve for x
    x = 1,283,030.47/1,248.70
  6. Step 6: Final answer
    x = 1,027.49

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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.