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Finding the Fourth Proportional to 741.84, 1,113.56 and 376.53

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Solution

The fourth proportional to 741.84, 1,113.56 and 376.53 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,113.56 = 376.53 : x
  2. Step 2: Convert to fraction form
    741.84/1,113.56 = 376.53/x
  3. Step 3: Cross multiply
    741.84x = 1,113.56 × 376.53
  4. Step 4: Simplify right side
    741.84x = 419,286.86
  5. Step 5: Solve for x
    x = 419,286.86/741.84
  6. Step 6: Final answer
    x = 565.20

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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.