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Finding the Fourth Proportional to 1,445.30, 1,994.18 and 855.52

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Solution

The fourth proportional to 1,445.30, 1,994.18 and 855.52 is: 1,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.30 : 1,994.18 = 855.52 : x
  2. Step 2: Convert to fraction form
    1,445.30/1,994.18 = 855.52/x
  3. Step 3: Cross multiply
    1,445.30x = 1,994.18 × 855.52
  4. Step 4: Simplify right side
    1,445.30x = 1,706,060.87
  5. Step 5: Solve for x
    x = 1,706,060.87/1,445.30
  6. Step 6: Final answer
    x = 1,180.42

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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.