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Finding the Fourth Proportional to 1,302.46, 1,952.26 and 522.27

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Solution

The fourth proportional to 1,302.46, 1,952.26 and 522.27 is: 782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.46 : 1,952.26 = 522.27 : x
  2. Step 2: Convert to fraction form
    1,302.46/1,952.26 = 522.27/x
  3. Step 3: Cross multiply
    1,302.46x = 1,952.26 × 522.27
  4. Step 4: Simplify right side
    1,302.46x = 1,019,605.52
  5. Step 5: Solve for x
    x = 1,019,605.52/1,302.46
  6. Step 6: Final answer
    x = 782.83

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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.