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Finding the Fourth Proportional to 698.58, 963.42 and 462.54

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Solution

The fourth proportional to 698.58, 963.42 and 462.54 is: 637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.58 : 963.42 = 462.54 : x
  2. Step 2: Convert to fraction form
    698.58/963.42 = 462.54/x
  3. Step 3: Cross multiply
    698.58x = 963.42 × 462.54
  4. Step 4: Simplify right side
    698.58x = 445,620.29
  5. Step 5: Solve for x
    x = 445,620.29/698.58
  6. Step 6: Final answer
    x = 637.89

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1.5x scale

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.