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Finding the Fourth Proportional to 1,099.69, 1,517.78 and 657.69

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Solution

The fourth proportional to 1,099.69, 1,517.78 and 657.69 is: 907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.69 : 1,517.78 = 657.69 : x
  2. Step 2: Convert to fraction form
    1,099.69/1,517.78 = 657.69/x
  3. Step 3: Cross multiply
    1,099.69x = 1,517.78 × 657.69
  4. Step 4: Simplify right side
    1,099.69x = 998,228.73
  5. Step 5: Solve for x
    x = 998,228.73/1,099.69
  6. Step 6: Final answer
    x = 907.74

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Half scale
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Double scale
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1.5x scale

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.