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Finding the Fourth Proportional to 740.69, 1,109.81 and 253.47

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Solution

The fourth proportional to 740.69, 1,109.81 and 253.47 is: 379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.69 : 1,109.81 = 253.47 : x
  2. Step 2: Convert to fraction form
    740.69/1,109.81 = 253.47/x
  3. Step 3: Cross multiply
    740.69x = 1,109.81 × 253.47
  4. Step 4: Simplify right side
    740.69x = 281,304.17
  5. Step 5: Solve for x
    x = 281,304.17/740.69
  6. Step 6: Final answer
    x = 379.79

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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.