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Finding the Fourth Proportional to 1,215.79, 1,823.67 and 394.07

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Solution

The fourth proportional to 1,215.79, 1,823.67 and 394.07 is: 591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.79 : 1,823.67 = 394.07 : x
  2. Step 2: Convert to fraction form
    1,215.79/1,823.67 = 394.07/x
  3. Step 3: Cross multiply
    1,215.79x = 1,823.67 × 394.07
  4. Step 4: Simplify right side
    1,215.79x = 718,648.09
  5. Step 5: Solve for x
    x = 718,648.09/1,215.79
  6. Step 6: Final answer
    x = 591.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.