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Finding the Fourth Proportional to 695.84, 1,042.87 and 284.50

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Solution

The fourth proportional to 695.84, 1,042.87 and 284.50 is: 426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.84 : 1,042.87 = 284.50 : x
  2. Step 2: Convert to fraction form
    695.84/1,042.87 = 284.50/x
  3. Step 3: Cross multiply
    695.84x = 1,042.87 × 284.50
  4. Step 4: Simplify right side
    695.84x = 296,696.52
  5. Step 5: Solve for x
    x = 296,696.52/695.84
  6. Step 6: Final answer
    x = 426.39

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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.