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Finding the Fourth Proportional to 694.34, 1,041.71 and 283.47

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Solution

The fourth proportional to 694.34, 1,041.71 and 283.47 is: 425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.34 : 1,041.71 = 283.47 : x
  2. Step 2: Convert to fraction form
    694.34/1,041.71 = 283.47/x
  3. Step 3: Cross multiply
    694.34x = 1,041.71 × 283.47
  4. Step 4: Simplify right side
    694.34x = 295,292.12
  5. Step 5: Solve for x
    x = 295,292.12/694.34
  6. Step 6: Final answer
    x = 425.29

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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.