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Finding the Fourth Proportional to 1,025.84, 1,517.84 and 1,022.96

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Solution

The fourth proportional to 1,025.84, 1,517.84 and 1,022.96 is: 1,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.84 : 1,517.84 = 1,022.96 : x
  2. Step 2: Convert to fraction form
    1,025.84/1,517.84 = 1,022.96/x
  3. Step 3: Cross multiply
    1,025.84x = 1,517.84 × 1,022.96
  4. Step 4: Simplify right side
    1,025.84x = 1,552,689.61
  5. Step 5: Solve for x
    x = 1,552,689.61/1,025.84
  6. Step 6: Final answer
    x = 1,513.58

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