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Finding the Fourth Proportional to 1,200.98, 1,801.16 and 542.60

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Solution

The fourth proportional to 1,200.98, 1,801.16 and 542.60 is: 813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.98 : 1,801.16 = 542.60 : x
  2. Step 2: Convert to fraction form
    1,200.98/1,801.16 = 542.60/x
  3. Step 3: Cross multiply
    1,200.98x = 1,801.16 × 542.60
  4. Step 4: Simplify right side
    1,200.98x = 977,299.05
  5. Step 5: Solve for x
    x = 977,299.05/1,200.98
  6. Step 6: Final answer
    x = 813.75

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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.