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Finding the Fourth Proportional to 1,447.60, 1,997.90 and 818.32

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Solution

The fourth proportional to 1,447.60, 1,997.90 and 818.32 is: 1,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.60 : 1,997.90 = 818.32 : x
  2. Step 2: Convert to fraction form
    1,447.60/1,997.90 = 818.32/x
  3. Step 3: Cross multiply
    1,447.60x = 1,997.90 × 818.32
  4. Step 4: Simplify right side
    1,447.60x = 1,634,917.44
  5. Step 5: Solve for x
    x = 1,634,917.44/1,447.60
  6. Step 6: Final answer
    x = 1,129.40

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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.