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Finding the Fourth Proportional to 1,098.95, 1,648.17 and 318.78

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Solution

The fourth proportional to 1,098.95, 1,648.17 and 318.78 is: 478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.95 : 1,648.17 = 318.78 : x
  2. Step 2: Convert to fraction form
    1,098.95/1,648.17 = 318.78/x
  3. Step 3: Cross multiply
    1,098.95x = 1,648.17 × 318.78
  4. Step 4: Simplify right side
    1,098.95x = 525,403.63
  5. Step 5: Solve for x
    x = 525,403.63/1,098.95
  6. Step 6: Final answer
    x = 478.10

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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.