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Finding the Fourth Proportional to 1,098.63, 1,647.71 and 318.46

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Solution

The fourth proportional to 1,098.63, 1,647.71 and 318.46 is: 477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.63 : 1,647.71 = 318.46 : x
  2. Step 2: Convert to fraction form
    1,098.63/1,647.71 = 318.46/x
  3. Step 3: Cross multiply
    1,098.63x = 1,647.71 × 318.46
  4. Step 4: Simplify right side
    1,098.63x = 524,729.73
  5. Step 5: Solve for x
    x = 524,729.73/1,098.63
  6. Step 6: Final answer
    x = 477.62

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