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Finding the Fourth Proportional to 1,242.80, 1,864.16 and 318.37

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Solution

The fourth proportional to 1,242.80, 1,864.16 and 318.37 is: 477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.80 : 1,864.16 = 318.37 : x
  2. Step 2: Convert to fraction form
    1,242.80/1,864.16 = 318.37/x
  3. Step 3: Cross multiply
    1,242.80x = 1,864.16 × 318.37
  4. Step 4: Simplify right side
    1,242.80x = 593,488.16
  5. Step 5: Solve for x
    x = 593,488.16/1,242.80
  6. Step 6: Final answer
    x = 477.54

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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.