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Finding the Fourth Proportional to 1,215.74, 1,823.15 and 393.79

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Solution

The fourth proportional to 1,215.74, 1,823.15 and 393.79 is: 590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.74 : 1,823.15 = 393.79 : x
  2. Step 2: Convert to fraction form
    1,215.74/1,823.15 = 393.79/x
  3. Step 3: Cross multiply
    1,215.74x = 1,823.15 × 393.79
  4. Step 4: Simplify right side
    1,215.74x = 717,938.24
  5. Step 5: Solve for x
    x = 717,938.24/1,215.74
  6. Step 6: Final answer
    x = 590.54

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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.