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Finding the Fourth Proportional to 1,214.84, 1,822.28 and 349.16

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Solution

The fourth proportional to 1,214.84, 1,822.28 and 349.16 is: 523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.84 : 1,822.28 = 349.16 : x
  2. Step 2: Convert to fraction form
    1,214.84/1,822.28 = 349.16/x
  3. Step 3: Cross multiply
    1,214.84x = 1,822.28 × 349.16
  4. Step 4: Simplify right side
    1,214.84x = 636,267.28
  5. Step 5: Solve for x
    x = 636,267.28/1,214.84
  6. Step 6: Final answer
    x = 523.75

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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.