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Finding the Fourth Proportional to 1,005.38, 1,515.46 and 963.70

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Solution

The fourth proportional to 1,005.38, 1,515.46 and 963.70 is: 1,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.38 : 1,515.46 = 963.70 : x
  2. Step 2: Convert to fraction form
    1,005.38/1,515.46 = 963.70/x
  3. Step 3: Cross multiply
    1,005.38x = 1,515.46 × 963.70
  4. Step 4: Simplify right side
    1,005.38x = 1,460,444.41
  5. Step 5: Solve for x
    x = 1,460,444.41/1,005.38
  6. Step 6: Final answer
    x = 1,452.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.