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Finding the Fourth Proportional to 892.74, 1,339.62 and 584.74

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Solution

The fourth proportional to 892.74, 1,339.62 and 584.74 is: 877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.74 : 1,339.62 = 584.74 : x
  2. Step 2: Convert to fraction form
    892.74/1,339.62 = 584.74/x
  3. Step 3: Cross multiply
    892.74x = 1,339.62 × 584.74
  4. Step 4: Simplify right side
    892.74x = 783,329.40
  5. Step 5: Solve for x
    x = 783,329.40/892.74
  6. Step 6: Final answer
    x = 877.44

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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.