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Finding the Fourth Proportional to 741.93, 1,112.09 and 468.15

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Solution

The fourth proportional to 741.93, 1,112.09 and 468.15 is: 701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.93 : 1,112.09 = 468.15 : x
  2. Step 2: Convert to fraction form
    741.93/1,112.09 = 468.15/x
  3. Step 3: Cross multiply
    741.93x = 1,112.09 × 468.15
  4. Step 4: Simplify right side
    741.93x = 520,622.59
  5. Step 5: Solve for x
    x = 520,622.59/741.93
  6. Step 6: Final answer
    x = 701.71

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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.