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Finding the Fourth Proportional to 844.71, 1,165.43 and 582.88

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Solution

The fourth proportional to 844.71, 1,165.43 and 582.88 is: 804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.71 : 1,165.43 = 582.88 : x
  2. Step 2: Convert to fraction form
    844.71/1,165.43 = 582.88/x
  3. Step 3: Cross multiply
    844.71x = 1,165.43 × 582.88
  4. Step 4: Simplify right side
    844.71x = 679,304.38
  5. Step 5: Solve for x
    x = 679,304.38/844.71
  6. Step 6: Final answer
    x = 804.19

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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.