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Finding the Fourth Proportional to 1,098.03, 1,647.01 and 549.81

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Solution

The fourth proportional to 1,098.03, 1,647.01 and 549.81 is: 824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.03 : 1,647.01 = 549.81 : x
  2. Step 2: Convert to fraction form
    1,098.03/1,647.01 = 549.81/x
  3. Step 3: Cross multiply
    1,098.03x = 1,647.01 × 549.81
  4. Step 4: Simplify right side
    1,098.03x = 905,542.57
  5. Step 5: Solve for x
    x = 905,542.57/1,098.03
  6. Step 6: Final answer
    x = 824.70

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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.