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Finding the Fourth Proportional to 772.57, 1,158.74 and 224.64

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Solution

The fourth proportional to 772.57, 1,158.74 and 224.64 is: 336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.57 : 1,158.74 = 224.64 : x
  2. Step 2: Convert to fraction form
    772.57/1,158.74 = 224.64/x
  3. Step 3: Cross multiply
    772.57x = 1,158.74 × 224.64
  4. Step 4: Simplify right side
    772.57x = 260,299.35
  5. Step 5: Solve for x
    x = 260,299.35/772.57
  6. Step 6: Final answer
    x = 336.93

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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.