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Finding the Fourth Proportional to 698.13, 1,045.49 and 423.41

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Solution

The fourth proportional to 698.13, 1,045.49 and 423.41 is: 634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.13 : 1,045.49 = 423.41 : x
  2. Step 2: Convert to fraction form
    698.13/1,045.49 = 423.41/x
  3. Step 3: Cross multiply
    698.13x = 1,045.49 × 423.41
  4. Step 4: Simplify right side
    698.13x = 442,663.58
  5. Step 5: Solve for x
    x = 442,663.58/698.13
  6. Step 6: Final answer
    x = 634.07

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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.