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Finding the Fourth Proportional to 1,230.15, 1,844.77 and 527.27

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Solution

The fourth proportional to 1,230.15, 1,844.77 and 527.27 is: 790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.15 : 1,844.77 = 527.27 : x
  2. Step 2: Convert to fraction form
    1,230.15/1,844.77 = 527.27/x
  3. Step 3: Cross multiply
    1,230.15x = 1,844.77 × 527.27
  4. Step 4: Simplify right side
    1,230.15x = 972,689.24
  5. Step 5: Solve for x
    x = 972,689.24/1,230.15
  6. Step 6: Final answer
    x = 790.71

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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.