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Finding the Fourth Proportional to 997.88, 1,376.96 and 578.19

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Solution

The fourth proportional to 997.88, 1,376.96 and 578.19 is: 797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.88 : 1,376.96 = 578.19 : x
  2. Step 2: Convert to fraction form
    997.88/1,376.96 = 578.19/x
  3. Step 3: Cross multiply
    997.88x = 1,376.96 × 578.19
  4. Step 4: Simplify right side
    997.88x = 796,144.50
  5. Step 5: Solve for x
    x = 796,144.50/997.88
  6. Step 6: Final answer
    x = 797.84

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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.