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Finding the Fourth Proportional to 909.28, 1,364.10 and 584.20

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Solution

The fourth proportional to 909.28, 1,364.10 and 584.20 is: 876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.28 : 1,364.10 = 584.20 : x
  2. Step 2: Convert to fraction form
    909.28/1,364.10 = 584.20/x
  3. Step 3: Cross multiply
    909.28x = 1,364.10 × 584.20
  4. Step 4: Simplify right side
    909.28x = 796,907.22
  5. Step 5: Solve for x
    x = 796,907.22/909.28
  6. Step 6: Final answer
    x = 876.42

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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.