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Finding the Fourth Proportional to 1,289.40, 1,778.92 and 823.92

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Solution

The fourth proportional to 1,289.40, 1,778.92 and 823.92 is: 1,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.40 : 1,778.92 = 823.92 : x
  2. Step 2: Convert to fraction form
    1,289.40/1,778.92 = 823.92/x
  3. Step 3: Cross multiply
    1,289.40x = 1,778.92 × 823.92
  4. Step 4: Simplify right side
    1,289.40x = 1,465,687.77
  5. Step 5: Solve for x
    x = 1,465,687.77/1,289.40
  6. Step 6: Final answer
    x = 1,136.72

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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.