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Finding the Fourth Proportional to 920.36, 1,269.12 and 588.80

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Solution

The fourth proportional to 920.36, 1,269.12 and 588.80 is: 811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.36 : 1,269.12 = 588.80 : x
  2. Step 2: Convert to fraction form
    920.36/1,269.12 = 588.80/x
  3. Step 3: Cross multiply
    920.36x = 1,269.12 × 588.80
  4. Step 4: Simplify right side
    920.36x = 747,257.86
  5. Step 5: Solve for x
    x = 747,257.86/920.36
  6. Step 6: Final answer
    x = 811.92

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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.