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Finding the Fourth Proportional to 698.41, 1,047.07 and 638.20

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Solution

The fourth proportional to 698.41, 1,047.07 and 638.20 is: 956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.41 : 1,047.07 = 638.20 : x
  2. Step 2: Convert to fraction form
    698.41/1,047.07 = 638.20/x
  3. Step 3: Cross multiply
    698.41x = 1,047.07 × 638.20
  4. Step 4: Simplify right side
    698.41x = 668,240.07
  5. Step 5: Solve for x
    x = 668,240.07/698.41
  6. Step 6: Final answer
    x = 956.80

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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.