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Finding the Fourth Proportional to 706.94, 1,059.95 and 341.38

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Solution

The fourth proportional to 706.94, 1,059.95 and 341.38 is: 511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.94 : 1,059.95 = 341.38 : x
  2. Step 2: Convert to fraction form
    706.94/1,059.95 = 341.38/x
  3. Step 3: Cross multiply
    706.94x = 1,059.95 × 341.38
  4. Step 4: Simplify right side
    706.94x = 361,844.02
  5. Step 5: Solve for x
    x = 361,844.02/706.94
  6. Step 6: Final answer
    x = 511.85

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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.