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Finding the Fourth Proportional to 884.39, 1,220.67 and 589.95

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Solution

The fourth proportional to 884.39, 1,220.67 and 589.95 is: 814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.39 : 1,220.67 = 589.95 : x
  2. Step 2: Convert to fraction form
    884.39/1,220.67 = 589.95/x
  3. Step 3: Cross multiply
    884.39x = 1,220.67 × 589.95
  4. Step 4: Simplify right side
    884.39x = 720,134.27
  5. Step 5: Solve for x
    x = 720,134.27/884.39
  6. Step 6: Final answer
    x = 814.28

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Half scale
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Double scale
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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.