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Finding the Fourth Proportional to 1,098.95, 1,648.11 and 482.49

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Solution

The fourth proportional to 1,098.95, 1,648.11 and 482.49 is: 723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.95 : 1,648.11 = 482.49 : x
  2. Step 2: Convert to fraction form
    1,098.95/1,648.11 = 482.49/x
  3. Step 3: Cross multiply
    1,098.95x = 1,648.11 × 482.49
  4. Step 4: Simplify right side
    1,098.95x = 795,196.59
  5. Step 5: Solve for x
    x = 795,196.59/1,098.95
  6. Step 6: Final answer
    x = 723.60

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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.