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Finding the Fourth Proportional to 891.86, 1,230.80 and 498.92

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Solution

The fourth proportional to 891.86, 1,230.80 and 498.92 is: 688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.86 : 1,230.80 = 498.92 : x
  2. Step 2: Convert to fraction form
    891.86/1,230.80 = 498.92/x
  3. Step 3: Cross multiply
    891.86x = 1,230.80 × 498.92
  4. Step 4: Simplify right side
    891.86x = 614,070.74
  5. Step 5: Solve for x
    x = 614,070.74/891.86
  6. Step 6: Final answer
    x = 688.53

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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.