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Finding the Fourth Proportional to 698.27, 1,047.41 and 456.33

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Solution

The fourth proportional to 698.27, 1,047.41 and 456.33 is: 684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.27 : 1,047.41 = 456.33 : x
  2. Step 2: Convert to fraction form
    698.27/1,047.41 = 456.33/x
  3. Step 3: Cross multiply
    698.27x = 1,047.41 × 456.33
  4. Step 4: Simplify right side
    698.27x = 477,966.68
  5. Step 5: Solve for x
    x = 477,966.68/698.27
  6. Step 6: Final answer
    x = 684.50

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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.