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Finding the Fourth Proportional to 740.06, 1,109.64 and 301.29

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Solution

The fourth proportional to 740.06, 1,109.64 and 301.29 is: 451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.06 : 1,109.64 = 301.29 : x
  2. Step 2: Convert to fraction form
    740.06/1,109.64 = 301.29/x
  3. Step 3: Cross multiply
    740.06x = 1,109.64 × 301.29
  4. Step 4: Simplify right side
    740.06x = 334,323.44
  5. Step 5: Solve for x
    x = 334,323.44/740.06
  6. Step 6: Final answer
    x = 451.75

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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.