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Finding the Fourth Proportional to 1,445.58, 1,994.91 and 782.44

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Solution

The fourth proportional to 1,445.58, 1,994.91 and 782.44 is: 1,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.58 : 1,994.91 = 782.44 : x
  2. Step 2: Convert to fraction form
    1,445.58/1,994.91 = 782.44/x
  3. Step 3: Cross multiply
    1,445.58x = 1,994.91 × 782.44
  4. Step 4: Simplify right side
    1,445.58x = 1,560,892.39
  5. Step 5: Solve for x
    x = 1,560,892.39/1,445.58
  6. Step 6: Final answer
    x = 1,079.77

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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.