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Finding the Fourth Proportional to 891.84, 1,229.52 and 592.47

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Solution

The fourth proportional to 891.84, 1,229.52 and 592.47 is: 816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.84 : 1,229.52 = 592.47 : x
  2. Step 2: Convert to fraction form
    891.84/1,229.52 = 592.47/x
  3. Step 3: Cross multiply
    891.84x = 1,229.52 × 592.47
  4. Step 4: Simplify right side
    891.84x = 728,453.71
  5. Step 5: Solve for x
    x = 728,453.71/891.84
  6. Step 6: Final answer
    x = 816.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.