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Finding the Fourth Proportional to 897.94, 1,238.95 and 566.44

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Solution

The fourth proportional to 897.94, 1,238.95 and 566.44 is: 781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.94 : 1,238.95 = 566.44 : x
  2. Step 2: Convert to fraction form
    897.94/1,238.95 = 566.44/x
  3. Step 3: Cross multiply
    897.94x = 1,238.95 × 566.44
  4. Step 4: Simplify right side
    897.94x = 701,790.84
  5. Step 5: Solve for x
    x = 701,790.84/897.94
  6. Step 6: Final answer
    x = 781.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.