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Finding the Fourth Proportional to 1,098.74, 1,647.90 and 318.57

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Solution

The fourth proportional to 1,098.74, 1,647.90 and 318.57 is: 477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.74 : 1,647.90 = 318.57 : x
  2. Step 2: Convert to fraction form
    1,098.74/1,647.90 = 318.57/x
  3. Step 3: Cross multiply
    1,098.74x = 1,647.90 × 318.57
  4. Step 4: Simplify right side
    1,098.74x = 524,971.50
  5. Step 5: Solve for x
    x = 524,971.50/1,098.74
  6. Step 6: Final answer
    x = 477.80

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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.