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Finding the Fourth Proportional to 740.79, 1,111.24 and 247.18

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Solution

The fourth proportional to 740.79, 1,111.24 and 247.18 is: 370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.79 : 1,111.24 = 247.18 : x
  2. Step 2: Convert to fraction form
    740.79/1,111.24 = 247.18/x
  3. Step 3: Cross multiply
    740.79x = 1,111.24 × 247.18
  4. Step 4: Simplify right side
    740.79x = 274,672.91
  5. Step 5: Solve for x
    x = 274,672.91/740.79
  6. Step 6: Final answer
    x = 370.78

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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.