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Finding the Fourth Proportional to 1,527.52, 2,108 and 828.91

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Solution

The fourth proportional to 1,527.52, 2,108 and 828.91 is: 1,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.52 : 2,108 = 828.91 : x
  2. Step 2: Convert to fraction form
    1,527.52/2,108 = 828.91/x
  3. Step 3: Cross multiply
    1,527.52x = 2,108 × 828.91
  4. Step 4: Simplify right side
    1,527.52x = 1,747,342.28
  5. Step 5: Solve for x
    x = 1,747,342.28/1,527.52
  6. Step 6: Final answer
    x = 1,143.91

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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.