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Finding the Fourth Proportional to 1,098.58, 1,648.50 and 449.32

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Solution

The fourth proportional to 1,098.58, 1,648.50 and 449.32 is: 674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.58 : 1,648.50 = 449.32 : x
  2. Step 2: Convert to fraction form
    1,098.58/1,648.50 = 449.32/x
  3. Step 3: Cross multiply
    1,098.58x = 1,648.50 × 449.32
  4. Step 4: Simplify right side
    1,098.58x = 740,704.02
  5. Step 5: Solve for x
    x = 740,704.02/1,098.58
  6. Step 6: Final answer
    x = 674.24

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Why These Related Problems?

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