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Finding the Fourth Proportional to 698.17, 1,046.14 and 369.10

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Solution

The fourth proportional to 698.17, 1,046.14 and 369.10 is: 553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.17 : 1,046.14 = 369.10 : x
  2. Step 2: Convert to fraction form
    698.17/1,046.14 = 369.10/x
  3. Step 3: Cross multiply
    698.17x = 1,046.14 × 369.10
  4. Step 4: Simplify right side
    698.17x = 386,130.27
  5. Step 5: Solve for x
    x = 386,130.27/698.17
  6. Step 6: Final answer
    x = 553.06

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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.