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Finding the Fourth Proportional to 1,445.35, 1,994.46 and 815.86

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Solution

The fourth proportional to 1,445.35, 1,994.46 and 815.86 is: 1,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.35 : 1,994.46 = 815.86 : x
  2. Step 2: Convert to fraction form
    1,445.35/1,994.46 = 815.86/x
  3. Step 3: Cross multiply
    1,445.35x = 1,994.46 × 815.86
  4. Step 4: Simplify right side
    1,445.35x = 1,627,200.14
  5. Step 5: Solve for x
    x = 1,627,200.14/1,445.35
  6. Step 6: Final answer
    x = 1,125.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.