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Finding the Fourth Proportional to 694.20, 958.80 and 498

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Solution

The fourth proportional to 694.20, 958.80 and 498 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.20 : 958.80 = 498 : x
  2. Step 2: Convert to fraction form
    694.20/958.80 = 498/x
  3. Step 3: Cross multiply
    694.20x = 958.80 × 498
  4. Step 4: Simplify right side
    694.20x = 477,482.40
  5. Step 5: Solve for x
    x = 477,482.40/694.20
  6. Step 6: Final answer
    x = 687.82

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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.