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Finding the Fourth Proportional to 1,200.03, 1,799.60 and 542.10

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Solution

The fourth proportional to 1,200.03, 1,799.60 and 542.10 is: 812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.03 : 1,799.60 = 542.10 : x
  2. Step 2: Convert to fraction form
    1,200.03/1,799.60 = 542.10/x
  3. Step 3: Cross multiply
    1,200.03x = 1,799.60 × 542.10
  4. Step 4: Simplify right side
    1,200.03x = 975,560.45
  5. Step 5: Solve for x
    x = 975,560.45/1,200.03
  6. Step 6: Final answer
    x = 812.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.