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Finding the Fourth Proportional to 884.16, 1,221.12 and 589.44

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Solution

The fourth proportional to 884.16, 1,221.12 and 589.44 is: 814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.16 : 1,221.12 = 589.44 : x
  2. Step 2: Convert to fraction form
    884.16/1,221.12 = 589.44/x
  3. Step 3: Cross multiply
    884.16x = 1,221.12 × 589.44
  4. Step 4: Simplify right side
    884.16x = 719,776.97
  5. Step 5: Solve for x
    x = 719,776.97/884.16
  6. Step 6: Final answer
    x = 814.08

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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.