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Finding the Fourth Proportional to 1,198.60, 1,798.14 and 549.52

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Solution

The fourth proportional to 1,198.60, 1,798.14 and 549.52 is: 824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.60 : 1,798.14 = 549.52 : x
  2. Step 2: Convert to fraction form
    1,198.60/1,798.14 = 549.52/x
  3. Step 3: Cross multiply
    1,198.60x = 1,798.14 × 549.52
  4. Step 4: Simplify right side
    1,198.60x = 988,113.89
  5. Step 5: Solve for x
    x = 988,113.89/1,198.60
  6. Step 6: Final answer
    x = 824.39

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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.