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Finding the Fourth Proportional to 800.72, 1,197.48 and 584

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Solution

The fourth proportional to 800.72, 1,197.48 and 584 is: 873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.72 : 1,197.48 = 584 : x
  2. Step 2: Convert to fraction form
    800.72/1,197.48 = 584/x
  3. Step 3: Cross multiply
    800.72x = 1,197.48 × 584
  4. Step 4: Simplify right side
    800.72x = 699,328.32
  5. Step 5: Solve for x
    x = 699,328.32/800.72
  6. Step 6: Final answer
    x = 873.37

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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.