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Finding the Fourth Proportional to 921.23, 1,270.95 and 589.61

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Solution

The fourth proportional to 921.23, 1,270.95 and 589.61 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.23 : 1,270.95 = 589.61 : x
  2. Step 2: Convert to fraction form
    921.23/1,270.95 = 589.61/x
  3. Step 3: Cross multiply
    921.23x = 1,270.95 × 589.61
  4. Step 4: Simplify right side
    921.23x = 749,359.95
  5. Step 5: Solve for x
    x = 749,359.95/921.23
  6. Step 6: Final answer
    x = 813.43

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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.