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Finding the Fourth Proportional to 1,423.52, 1,964.44 and 826.12

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Solution

The fourth proportional to 1,423.52, 1,964.44 and 826.12 is: 1,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.52 : 1,964.44 = 826.12 : x
  2. Step 2: Convert to fraction form
    1,423.52/1,964.44 = 826.12/x
  3. Step 3: Cross multiply
    1,423.52x = 1,964.44 × 826.12
  4. Step 4: Simplify right side
    1,423.52x = 1,622,863.17
  5. Step 5: Solve for x
    x = 1,622,863.17/1,423.52
  6. Step 6: Final answer
    x = 1,140.04

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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.