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Finding the Fourth Proportional to 1,099.98, 1,641.47 and 925.02

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Solution

The fourth proportional to 1,099.98, 1,641.47 and 925.02 is: 1,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.98 : 1,641.47 = 925.02 : x
  2. Step 2: Convert to fraction form
    1,099.98/1,641.47 = 925.02/x
  3. Step 3: Cross multiply
    1,099.98x = 1,641.47 × 925.02
  4. Step 4: Simplify right side
    1,099.98x = 1,518,387.95
  5. Step 5: Solve for x
    x = 1,518,387.95/1,099.98
  6. Step 6: Final answer
    x = 1,380.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.