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Finding the Fourth Proportional to 1,254.48, 1,879.92 and 523.68

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Solution

The fourth proportional to 1,254.48, 1,879.92 and 523.68 is: 784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.48 : 1,879.92 = 523.68 : x
  2. Step 2: Convert to fraction form
    1,254.48/1,879.92 = 523.68/x
  3. Step 3: Cross multiply
    1,254.48x = 1,879.92 × 523.68
  4. Step 4: Simplify right side
    1,254.48x = 984,476.51
  5. Step 5: Solve for x
    x = 984,476.51/1,254.48
  6. Step 6: Final answer
    x = 784.77

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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.