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Finding the Fourth Proportional to 1,035.88, 1,540.97 and 1,025.44

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Solution

The fourth proportional to 1,035.88, 1,540.97 and 1,025.44 is: 1,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.88 : 1,540.97 = 1,025.44 : x
  2. Step 2: Convert to fraction form
    1,035.88/1,540.97 = 1,025.44/x
  3. Step 3: Cross multiply
    1,035.88x = 1,540.97 × 1,025.44
  4. Step 4: Simplify right side
    1,035.88x = 1,580,172.28
  5. Step 5: Solve for x
    x = 1,580,172.28/1,035.88
  6. Step 6: Final answer
    x = 1,525.44

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.