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Finding the Fourth Proportional to 1,521.74, 2,282.85 and 495.50

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Solution

The fourth proportional to 1,521.74, 2,282.85 and 495.50 is: 743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.74 : 2,282.85 = 495.50 : x
  2. Step 2: Convert to fraction form
    1,521.74/2,282.85 = 495.50/x
  3. Step 3: Cross multiply
    1,521.74x = 2,282.85 × 495.50
  4. Step 4: Simplify right side
    1,521.74x = 1,131,152.18
  5. Step 5: Solve for x
    x = 1,131,152.18/1,521.74
  6. Step 6: Final answer
    x = 743.33

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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.