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Finding the Fourth Proportional to 1,324.40, 1,984.52 and 836.44

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Solution

The fourth proportional to 1,324.40, 1,984.52 and 836.44 is: 1,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.40 : 1,984.52 = 836.44 : x
  2. Step 2: Convert to fraction form
    1,324.40/1,984.52 = 836.44/x
  3. Step 3: Cross multiply
    1,324.40x = 1,984.52 × 836.44
  4. Step 4: Simplify right side
    1,324.40x = 1,659,931.91
  5. Step 5: Solve for x
    x = 1,659,931.91/1,324.40
  6. Step 6: Final answer
    x = 1,253.35

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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.