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Finding the Fourth Proportional to 923.78, 1,275.09 and 531.07

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Solution

The fourth proportional to 923.78, 1,275.09 and 531.07 is: 733.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.78 : 1,275.09 = 531.07 : x
  2. Step 2: Convert to fraction form
    923.78/1,275.09 = 531.07/x
  3. Step 3: Cross multiply
    923.78x = 1,275.09 × 531.07
  4. Step 4: Simplify right side
    923.78x = 677,162.05
  5. Step 5: Solve for x
    x = 677,162.05/923.78
  6. Step 6: Final answer
    x = 733.03

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