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Finding the Fourth Proportional to 740.02, 1,109.75 and 252.94

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Solution

The fourth proportional to 740.02, 1,109.75 and 252.94 is: 379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.02 : 1,109.75 = 252.94 : x
  2. Step 2: Convert to fraction form
    740.02/1,109.75 = 252.94/x
  3. Step 3: Cross multiply
    740.02x = 1,109.75 × 252.94
  4. Step 4: Simplify right side
    740.02x = 280,698.02
  5. Step 5: Solve for x
    x = 280,698.02/740.02
  6. Step 6: Final answer
    x = 379.31

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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.