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Finding the Fourth Proportional to 750.26, 1,034.72 and 488.13

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Solution

The fourth proportional to 750.26, 1,034.72 and 488.13 is: 673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.26 : 1,034.72 = 488.13 : x
  2. Step 2: Convert to fraction form
    750.26/1,034.72 = 488.13/x
  3. Step 3: Cross multiply
    750.26x = 1,034.72 × 488.13
  4. Step 4: Simplify right side
    750.26x = 505,076.13
  5. Step 5: Solve for x
    x = 505,076.13/750.26
  6. Step 6: Final answer
    x = 673.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.