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Finding the Fourth Proportional to 698.54, 1,046.16 and 410.18

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Solution

The fourth proportional to 698.54, 1,046.16 and 410.18 is: 614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.54 : 1,046.16 = 410.18 : x
  2. Step 2: Convert to fraction form
    698.54/1,046.16 = 410.18/x
  3. Step 3: Cross multiply
    698.54x = 1,046.16 × 410.18
  4. Step 4: Simplify right side
    698.54x = 429,108.68
  5. Step 5: Solve for x
    x = 429,108.68/698.54
  6. Step 6: Final answer
    x = 614.30

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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.