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Finding the Fourth Proportional to 740.53, 1,110.78 and 301.78

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Solution

The fourth proportional to 740.53, 1,110.78 and 301.78 is: 452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.53 : 1,110.78 = 301.78 : x
  2. Step 2: Convert to fraction form
    740.53/1,110.78 = 301.78/x
  3. Step 3: Cross multiply
    740.53x = 1,110.78 × 301.78
  4. Step 4: Simplify right side
    740.53x = 335,211.19
  5. Step 5: Solve for x
    x = 335,211.19/740.53
  6. Step 6: Final answer
    x = 452.66

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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.