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Finding the Fourth Proportional to 1,214.79, 1,822.17 and 349.10

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Solution

The fourth proportional to 1,214.79, 1,822.17 and 349.10 is: 523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.79 : 1,822.17 = 349.10 : x
  2. Step 2: Convert to fraction form
    1,214.79/1,822.17 = 349.10/x
  3. Step 3: Cross multiply
    1,214.79x = 1,822.17 × 349.10
  4. Step 4: Simplify right side
    1,214.79x = 636,119.55
  5. Step 5: Solve for x
    x = 636,119.55/1,214.79
  6. Step 6: Final answer
    x = 523.65

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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.