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Finding the Fourth Proportional to 1,157.89, 1,734.40 and 542.09

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Solution

The fourth proportional to 1,157.89, 1,734.40 and 542.09 is: 812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.89 : 1,734.40 = 542.09 : x
  2. Step 2: Convert to fraction form
    1,157.89/1,734.40 = 542.09/x
  3. Step 3: Cross multiply
    1,157.89x = 1,734.40 × 542.09
  4. Step 4: Simplify right side
    1,157.89x = 940,200.90
  5. Step 5: Solve for x
    x = 940,200.90/1,157.89
  6. Step 6: Final answer
    x = 812.00

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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.