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Finding the Fourth Proportional to 698.13, 962.98 and 449.78

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Solution

The fourth proportional to 698.13, 962.98 and 449.78 is: 620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.13 : 962.98 = 449.78 : x
  2. Step 2: Convert to fraction form
    698.13/962.98 = 449.78/x
  3. Step 3: Cross multiply
    698.13x = 962.98 × 449.78
  4. Step 4: Simplify right side
    698.13x = 433,123.21
  5. Step 5: Solve for x
    x = 433,123.21/698.13
  6. Step 6: Final answer
    x = 620.40

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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.