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Finding the Fourth Proportional to 1,099.98, 1,517.93 and 657.65

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Solution

The fourth proportional to 1,099.98, 1,517.93 and 657.65 is: 907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.98 : 1,517.93 = 657.65 : x
  2. Step 2: Convert to fraction form
    1,099.98/1,517.93 = 657.65/x
  3. Step 3: Cross multiply
    1,099.98x = 1,517.93 × 657.65
  4. Step 4: Simplify right side
    1,099.98x = 998,268.31
  5. Step 5: Solve for x
    x = 998,268.31/1,099.98
  6. Step 6: Final answer
    x = 907.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.