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Finding the Fourth Proportional to 1,120.75, 1,546.62 and 648.65

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Solution

The fourth proportional to 1,120.75, 1,546.62 and 648.65 is: 895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.75 : 1,546.62 = 648.65 : x
  2. Step 2: Convert to fraction form
    1,120.75/1,546.62 = 648.65/x
  3. Step 3: Cross multiply
    1,120.75x = 1,546.62 × 648.65
  4. Step 4: Simplify right side
    1,120.75x = 1,003,215.06
  5. Step 5: Solve for x
    x = 1,003,215.06/1,120.75
  6. Step 6: Final answer
    x = 895.13

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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.