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Finding the Fourth Proportional to 1,452.77, 2,006.46 and 979.84

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Solution

The fourth proportional to 1,452.77, 2,006.46 and 979.84 is: 1,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.77 : 2,006.46 = 979.84 : x
  2. Step 2: Convert to fraction form
    1,452.77/2,006.46 = 979.84/x
  3. Step 3: Cross multiply
    1,452.77x = 2,006.46 × 979.84
  4. Step 4: Simplify right side
    1,452.77x = 1,966,012.27
  5. Step 5: Solve for x
    x = 1,966,012.27/1,452.77
  6. Step 6: Final answer
    x = 1,353.29

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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.