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Finding the Fourth Proportional to 694.17, 1,041.26 and 283.22

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Solution

The fourth proportional to 694.17, 1,041.26 and 283.22 is: 424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.17 : 1,041.26 = 283.22 : x
  2. Step 2: Convert to fraction form
    694.17/1,041.26 = 283.22/x
  3. Step 3: Cross multiply
    694.17x = 1,041.26 × 283.22
  4. Step 4: Simplify right side
    694.17x = 294,899.03
  5. Step 5: Solve for x
    x = 294,899.03/694.17
  6. Step 6: Final answer
    x = 424.82

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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.