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Finding the Fourth Proportional to 706.14, 1,057.77 and 295.11

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Solution

The fourth proportional to 706.14, 1,057.77 and 295.11 is: 442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.14 : 1,057.77 = 295.11 : x
  2. Step 2: Convert to fraction form
    706.14/1,057.77 = 295.11/x
  3. Step 3: Cross multiply
    706.14x = 1,057.77 × 295.11
  4. Step 4: Simplify right side
    706.14x = 312,158.50
  5. Step 5: Solve for x
    x = 312,158.50/706.14
  6. Step 6: Final answer
    x = 442.06

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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.