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Finding the Fourth Proportional to 1,214.64, 1,822.86 and 483.84

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Solution

The fourth proportional to 1,214.64, 1,822.86 and 483.84 is: 726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.64 : 1,822.86 = 483.84 : x
  2. Step 2: Convert to fraction form
    1,214.64/1,822.86 = 483.84/x
  3. Step 3: Cross multiply
    1,214.64x = 1,822.86 × 483.84
  4. Step 4: Simplify right side
    1,214.64x = 881,972.58
  5. Step 5: Solve for x
    x = 881,972.58/1,214.64
  6. Step 6: Final answer
    x = 726.12

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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.