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Finding the Fourth Proportional to 694.90, 1,042.35 and 284.10

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Solution

The fourth proportional to 694.90, 1,042.35 and 284.10 is: 426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.90 : 1,042.35 = 284.10 : x
  2. Step 2: Convert to fraction form
    694.90/1,042.35 = 284.10/x
  3. Step 3: Cross multiply
    694.90x = 1,042.35 × 284.10
  4. Step 4: Simplify right side
    694.90x = 296,131.64
  5. Step 5: Solve for x
    x = 296,131.64/694.90
  6. Step 6: Final answer
    x = 426.15

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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.