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Finding the Fourth Proportional to 742.23, 1,112.13 and 468.45

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Solution

The fourth proportional to 742.23, 1,112.13 and 468.45 is: 701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.23 : 1,112.13 = 468.45 : x
  2. Step 2: Convert to fraction form
    742.23/1,112.13 = 468.45/x
  3. Step 3: Cross multiply
    742.23x = 1,112.13 × 468.45
  4. Step 4: Simplify right side
    742.23x = 520,977.30
  5. Step 5: Solve for x
    x = 520,977.30/742.23
  6. Step 6: Final answer
    x = 701.91

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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.