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Finding the Fourth Proportional to 1,526.88, 2,107.09 and 828.25

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Solution

The fourth proportional to 1,526.88, 2,107.09 and 828.25 is: 1,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.88 : 2,107.09 = 828.25 : x
  2. Step 2: Convert to fraction form
    1,526.88/2,107.09 = 828.25/x
  3. Step 3: Cross multiply
    1,526.88x = 2,107.09 × 828.25
  4. Step 4: Simplify right side
    1,526.88x = 1,745,197.29
  5. Step 5: Solve for x
    x = 1,745,197.29/1,526.88
  6. Step 6: Final answer
    x = 1,142.98

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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.