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Finding the Fourth Proportional to 742.44, 1,111.52 and 522.80

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Solution

The fourth proportional to 742.44, 1,111.52 and 522.80 is: 782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.44 : 1,111.52 = 522.80 : x
  2. Step 2: Convert to fraction form
    742.44/1,111.52 = 522.80/x
  3. Step 3: Cross multiply
    742.44x = 1,111.52 × 522.80
  4. Step 4: Simplify right side
    742.44x = 581,102.66
  5. Step 5: Solve for x
    x = 581,102.66/742.44
  6. Step 6: Final answer
    x = 782.69

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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.