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Finding the Fourth Proportional to 698.69, 1,046.52 and 405.88

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Solution

The fourth proportional to 698.69, 1,046.52 and 405.88 is: 607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.69 : 1,046.52 = 405.88 : x
  2. Step 2: Convert to fraction form
    698.69/1,046.52 = 405.88/x
  3. Step 3: Cross multiply
    698.69x = 1,046.52 × 405.88
  4. Step 4: Simplify right side
    698.69x = 424,758.92
  5. Step 5: Solve for x
    x = 424,758.92/698.69
  6. Step 6: Final answer
    x = 607.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.