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Finding the Fourth Proportional to 921.24, 1,272.24 and 589.80

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Solution

The fourth proportional to 921.24, 1,272.24 and 589.80 is: 814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.24 : 1,272.24 = 589.80 : x
  2. Step 2: Convert to fraction form
    921.24/1,272.24 = 589.80/x
  3. Step 3: Cross multiply
    921.24x = 1,272.24 × 589.80
  4. Step 4: Simplify right side
    921.24x = 750,367.15
  5. Step 5: Solve for x
    x = 750,367.15/921.24
  6. Step 6: Final answer
    x = 814.52

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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.