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Finding the Fourth Proportional to 1,245.26, 1,718.46 and 748.32

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Solution

The fourth proportional to 1,245.26, 1,718.46 and 748.32 is: 1,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.26 : 1,718.46 = 748.32 : x
  2. Step 2: Convert to fraction form
    1,245.26/1,718.46 = 748.32/x
  3. Step 3: Cross multiply
    1,245.26x = 1,718.46 × 748.32
  4. Step 4: Simplify right side
    1,245.26x = 1,285,957.99
  5. Step 5: Solve for x
    x = 1,285,957.99/1,245.26
  6. Step 6: Final answer
    x = 1,032.68

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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.