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Finding the Fourth Proportional to 706.52, 1,059.78 and 193.52

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Solution

The fourth proportional to 706.52, 1,059.78 and 193.52 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.52 : 1,059.78 = 193.52 : x
  2. Step 2: Convert to fraction form
    706.52/1,059.78 = 193.52/x
  3. Step 3: Cross multiply
    706.52x = 1,059.78 × 193.52
  4. Step 4: Simplify right side
    706.52x = 205,088.63
  5. Step 5: Solve for x
    x = 205,088.63/706.52
  6. Step 6: Final answer
    x = 290.28

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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.