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Finding the Fourth Proportional to 1,118.27, 1,543.66 and 676.22

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Solution

The fourth proportional to 1,118.27, 1,543.66 and 676.22 is: 933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.27 : 1,543.66 = 676.22 : x
  2. Step 2: Convert to fraction form
    1,118.27/1,543.66 = 676.22/x
  3. Step 3: Cross multiply
    1,118.27x = 1,543.66 × 676.22
  4. Step 4: Simplify right side
    1,118.27x = 1,043,844.36
  5. Step 5: Solve for x
    x = 1,043,844.36/1,118.27
  6. Step 6: Final answer
    x = 933.44

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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.