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Finding the Fourth Proportional to 1,527.91, 2,108.49 and 829.30

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Solution

The fourth proportional to 1,527.91, 2,108.49 and 829.30 is: 1,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.91 : 2,108.49 = 829.30 : x
  2. Step 2: Convert to fraction form
    1,527.91/2,108.49 = 829.30/x
  3. Step 3: Cross multiply
    1,527.91x = 2,108.49 × 829.30
  4. Step 4: Simplify right side
    1,527.91x = 1,748,570.76
  5. Step 5: Solve for x
    x = 1,748,570.76/1,527.91
  6. Step 6: Final answer
    x = 1,144.42

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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.