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Finding the Fourth Proportional to 1,214.53, 1,822.02 and 392.79

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Solution

The fourth proportional to 1,214.53, 1,822.02 and 392.79 is: 589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.53 : 1,822.02 = 392.79 : x
  2. Step 2: Convert to fraction form
    1,214.53/1,822.02 = 392.79/x
  3. Step 3: Cross multiply
    1,214.53x = 1,822.02 × 392.79
  4. Step 4: Simplify right side
    1,214.53x = 715,662.13
  5. Step 5: Solve for x
    x = 715,662.13/1,214.53
  6. Step 6: Final answer
    x = 589.25

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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.