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Finding the Fourth Proportional to 1,098.97, 1,648.46 and 405.65

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Solution

The fourth proportional to 1,098.97, 1,648.46 and 405.65 is: 608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.97 : 1,648.46 = 405.65 : x
  2. Step 2: Convert to fraction form
    1,098.97/1,648.46 = 405.65/x
  3. Step 3: Cross multiply
    1,098.97x = 1,648.46 × 405.65
  4. Step 4: Simplify right side
    1,098.97x = 668,702.93
  5. Step 5: Solve for x
    x = 668,702.93/1,098.97
  6. Step 6: Final answer
    x = 608.48

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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.