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Finding the Fourth Proportional to 1,307.24, 1,960.09 and 527.61

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Solution

The fourth proportional to 1,307.24, 1,960.09 and 527.61 is: 791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.24 : 1,960.09 = 527.61 : x
  2. Step 2: Convert to fraction form
    1,307.24/1,960.09 = 527.61/x
  3. Step 3: Cross multiply
    1,307.24x = 1,960.09 × 527.61
  4. Step 4: Simplify right side
    1,307.24x = 1,034,163.08
  5. Step 5: Solve for x
    x = 1,034,163.08/1,307.24
  6. Step 6: Final answer
    x = 791.11

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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.