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Finding the Fourth Proportional to 750.27, 1,034.98 and 488.23

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Solution

The fourth proportional to 750.27, 1,034.98 and 488.23 is: 673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.27 : 1,034.98 = 488.23 : x
  2. Step 2: Convert to fraction form
    750.27/1,034.98 = 488.23/x
  3. Step 3: Cross multiply
    750.27x = 1,034.98 × 488.23
  4. Step 4: Simplify right side
    750.27x = 505,308.29
  5. Step 5: Solve for x
    x = 505,308.29/750.27
  6. Step 6: Final answer
    x = 673.50

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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.