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Finding the Fourth Proportional to 706.10, 1,059.10 and 219.13

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Solution

The fourth proportional to 706.10, 1,059.10 and 219.13 is: 328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.10 : 1,059.10 = 219.13 : x
  2. Step 2: Convert to fraction form
    706.10/1,059.10 = 219.13/x
  3. Step 3: Cross multiply
    706.10x = 1,059.10 × 219.13
  4. Step 4: Simplify right side
    706.10x = 232,080.58
  5. Step 5: Solve for x
    x = 232,080.58/706.10
  6. Step 6: Final answer
    x = 328.68

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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.