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Finding the Fourth Proportional to 1,244.15, 1,866.23 and 319.71

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Solution

The fourth proportional to 1,244.15, 1,866.23 and 319.71 is: 479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.15 : 1,866.23 = 319.71 : x
  2. Step 2: Convert to fraction form
    1,244.15/1,866.23 = 319.71/x
  3. Step 3: Cross multiply
    1,244.15x = 1,866.23 × 319.71
  4. Step 4: Simplify right side
    1,244.15x = 596,652.39
  5. Step 5: Solve for x
    x = 596,652.39/1,244.15
  6. Step 6: Final answer
    x = 479.57

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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.