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Finding the Fourth Proportional to 1,098.55, 1,647.57 and 318.35

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Solution

The fourth proportional to 1,098.55, 1,647.57 and 318.35 is: 477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.55 : 1,647.57 = 318.35 : x
  2. Step 2: Convert to fraction form
    1,098.55/1,647.57 = 318.35/x
  3. Step 3: Cross multiply
    1,098.55x = 1,647.57 × 318.35
  4. Step 4: Simplify right side
    1,098.55x = 524,494.48
  5. Step 5: Solve for x
    x = 524,494.48/1,098.55
  6. Step 6: Final answer
    x = 477.44

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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.