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Finding the Fourth Proportional to 696.54, 1,043.44 and 566.68

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Solution

The fourth proportional to 696.54, 1,043.44 and 566.68 is: 848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.54 : 1,043.44 = 566.68 : x
  2. Step 2: Convert to fraction form
    696.54/1,043.44 = 566.68/x
  3. Step 3: Cross multiply
    696.54x = 1,043.44 × 566.68
  4. Step 4: Simplify right side
    696.54x = 591,296.58
  5. Step 5: Solve for x
    x = 591,296.58/696.54
  6. Step 6: Final answer
    x = 848.91

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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.