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Finding the Fourth Proportional to 1,013.45, 1,520.25 and 465.78

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Solution

The fourth proportional to 1,013.45, 1,520.25 and 465.78 is: 698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.45 : 1,520.25 = 465.78 : x
  2. Step 2: Convert to fraction form
    1,013.45/1,520.25 = 465.78/x
  3. Step 3: Cross multiply
    1,013.45x = 1,520.25 × 465.78
  4. Step 4: Simplify right side
    1,013.45x = 708,102.05
  5. Step 5: Solve for x
    x = 708,102.05/1,013.45
  6. Step 6: Final answer
    x = 698.71

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.