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Finding the Fourth Proportional to 1,245.58, 1,718.85 and 748.49

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Solution

The fourth proportional to 1,245.58, 1,718.85 and 748.49 is: 1,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.58 : 1,718.85 = 748.49 : x
  2. Step 2: Convert to fraction form
    1,245.58/1,718.85 = 748.49/x
  3. Step 3: Cross multiply
    1,245.58x = 1,718.85 × 748.49
  4. Step 4: Simplify right side
    1,245.58x = 1,286,550.75
  5. Step 5: Solve for x
    x = 1,286,550.75/1,245.58
  6. Step 6: Final answer
    x = 1,032.89

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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.