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Finding the Fourth Proportional to 698.68, 1,047.86 and 451.80

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Solution

The fourth proportional to 698.68, 1,047.86 and 451.80 is: 677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.68 : 1,047.86 = 451.80 : x
  2. Step 2: Convert to fraction form
    698.68/1,047.86 = 451.80/x
  3. Step 3: Cross multiply
    698.68x = 1,047.86 × 451.80
  4. Step 4: Simplify right side
    698.68x = 473,423.15
  5. Step 5: Solve for x
    x = 473,423.15/698.68
  6. Step 6: Final answer
    x = 677.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.