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Finding the Fourth Proportional to 698.12, 962.57 and 449.45

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Solution

The fourth proportional to 698.12, 962.57 and 449.45 is: 619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.12 : 962.57 = 449.45 : x
  2. Step 2: Convert to fraction form
    698.12/962.57 = 449.45/x
  3. Step 3: Cross multiply
    698.12x = 962.57 × 449.45
  4. Step 4: Simplify right side
    698.12x = 432,620.03
  5. Step 5: Solve for x
    x = 432,620.03/698.12
  6. Step 6: Final answer
    x = 619.70

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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.