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Finding the Fourth Proportional to 1,170.73, 1,756.73 and 521.44

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Solution

The fourth proportional to 1,170.73, 1,756.73 and 521.44 is: 782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.73 : 1,756.73 = 521.44 : x
  2. Step 2: Convert to fraction form
    1,170.73/1,756.73 = 521.44/x
  3. Step 3: Cross multiply
    1,170.73x = 1,756.73 × 521.44
  4. Step 4: Simplify right side
    1,170.73x = 916,029.29
  5. Step 5: Solve for x
    x = 916,029.29/1,170.73
  6. Step 6: Final answer
    x = 782.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.