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Finding the Fourth Proportional to 909.44, 1,364.80 and 584.96

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Solution

The fourth proportional to 909.44, 1,364.80 and 584.96 is: 877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.44 : 1,364.80 = 584.96 : x
  2. Step 2: Convert to fraction form
    909.44/1,364.80 = 584.96/x
  3. Step 3: Cross multiply
    909.44x = 1,364.80 × 584.96
  4. Step 4: Simplify right side
    909.44x = 798,353.41
  5. Step 5: Solve for x
    x = 798,353.41/909.44
  6. Step 6: Final answer
    x = 877.85

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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.