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Finding the Fourth Proportional to 1,099.70, 1,517.42 and 706.76

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Solution

The fourth proportional to 1,099.70, 1,517.42 and 706.76 is: 975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.70 : 1,517.42 = 706.76 : x
  2. Step 2: Convert to fraction form
    1,099.70/1,517.42 = 706.76/x
  3. Step 3: Cross multiply
    1,099.70x = 1,517.42 × 706.76
  4. Step 4: Simplify right side
    1,099.70x = 1,072,451.76
  5. Step 5: Solve for x
    x = 1,072,451.76/1,099.70
  6. Step 6: Final answer
    x = 975.22

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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.