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Finding the Fourth Proportional to 891.88, 1,230.78 and 498.90

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Solution

The fourth proportional to 891.88, 1,230.78 and 498.90 is: 688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.88 : 1,230.78 = 498.90 : x
  2. Step 2: Convert to fraction form
    891.88/1,230.78 = 498.90/x
  3. Step 3: Cross multiply
    891.88x = 1,230.78 × 498.90
  4. Step 4: Simplify right side
    891.88x = 614,036.14
  5. Step 5: Solve for x
    x = 614,036.14/891.88
  6. Step 6: Final answer
    x = 688.47

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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.