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Finding the Fourth Proportional to 1,098.42, 1,644.36 and 727.53

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Solution

The fourth proportional to 1,098.42, 1,644.36 and 727.53 is: 1,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.42 : 1,644.36 = 727.53 : x
  2. Step 2: Convert to fraction form
    1,098.42/1,644.36 = 727.53/x
  3. Step 3: Cross multiply
    1,098.42x = 1,644.36 × 727.53
  4. Step 4: Simplify right side
    1,098.42x = 1,196,321.23
  5. Step 5: Solve for x
    x = 1,196,321.23/1,098.42
  6. Step 6: Final answer
    x = 1,089.13

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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.