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Finding the Fourth Proportional to 1,110.97, 1,533.72 and 758.76

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Solution

The fourth proportional to 1,110.97, 1,533.72 and 758.76 is: 1,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.97 : 1,533.72 = 758.76 : x
  2. Step 2: Convert to fraction form
    1,110.97/1,533.72 = 758.76/x
  3. Step 3: Cross multiply
    1,110.97x = 1,533.72 × 758.76
  4. Step 4: Simplify right side
    1,110.97x = 1,163,725.39
  5. Step 5: Solve for x
    x = 1,163,725.39/1,110.97
  6. Step 6: Final answer
    x = 1,047.49

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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.