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Finding the Fourth Proportional to 838.88, 1,258.24 and 566.72

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Solution

The fourth proportional to 838.88, 1,258.24 and 566.72 is: 850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.88 : 1,258.24 = 566.72 : x
  2. Step 2: Convert to fraction form
    838.88/1,258.24 = 566.72/x
  3. Step 3: Cross multiply
    838.88x = 1,258.24 × 566.72
  4. Step 4: Simplify right side
    838.88x = 713,069.77
  5. Step 5: Solve for x
    x = 713,069.77/838.88
  6. Step 6: Final answer
    x = 850.03

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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.