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Finding the Fourth Proportional to 740.13, 1,109.34 and 306.75

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Solution

The fourth proportional to 740.13, 1,109.34 and 306.75 is: 459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.13 : 1,109.34 = 306.75 : x
  2. Step 2: Convert to fraction form
    740.13/1,109.34 = 306.75/x
  3. Step 3: Cross multiply
    740.13x = 1,109.34 × 306.75
  4. Step 4: Simplify right side
    740.13x = 340,290.05
  5. Step 5: Solve for x
    x = 340,290.05/740.13
  6. Step 6: Final answer
    x = 459.77

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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.