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Finding the Fourth Proportional to 797.59, 1,100.40 and 498.63

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Solution

The fourth proportional to 797.59, 1,100.40 and 498.63 is: 687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.59 : 1,100.40 = 498.63 : x
  2. Step 2: Convert to fraction form
    797.59/1,100.40 = 498.63/x
  3. Step 3: Cross multiply
    797.59x = 1,100.40 × 498.63
  4. Step 4: Simplify right side
    797.59x = 548,689.96
  5. Step 5: Solve for x
    x = 548,689.96/797.59
  6. Step 6: Final answer
    x = 687.94

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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.