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Finding the Fourth Proportional to 1,158.70, 1,736.76 and 542.56

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Solution

The fourth proportional to 1,158.70, 1,736.76 and 542.56 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.70 : 1,736.76 = 542.56 : x
  2. Step 2: Convert to fraction form
    1,158.70/1,736.76 = 542.56/x
  3. Step 3: Cross multiply
    1,158.70x = 1,736.76 × 542.56
  4. Step 4: Simplify right side
    1,158.70x = 942,296.51
  5. Step 5: Solve for x
    x = 942,296.51/1,158.70
  6. Step 6: Final answer
    x = 813.24

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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.