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Finding the Fourth Proportional to 741.79, 1,113.14 and 376.71

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Solution

The fourth proportional to 741.79, 1,113.14 and 376.71 is: 565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.79 : 1,113.14 = 376.71 : x
  2. Step 2: Convert to fraction form
    741.79/1,113.14 = 376.71/x
  3. Step 3: Cross multiply
    741.79x = 1,113.14 × 376.71
  4. Step 4: Simplify right side
    741.79x = 419,330.97
  5. Step 5: Solve for x
    x = 419,330.97/741.79
  6. Step 6: Final answer
    x = 565.30

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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.