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Finding the Fourth Proportional to 705.69, 1,057.90 and 358.83

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Solution

The fourth proportional to 705.69, 1,057.90 and 358.83 is: 537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.69 : 1,057.90 = 358.83 : x
  2. Step 2: Convert to fraction form
    705.69/1,057.90 = 358.83/x
  3. Step 3: Cross multiply
    705.69x = 1,057.90 × 358.83
  4. Step 4: Simplify right side
    705.69x = 379,600.07
  5. Step 5: Solve for x
    x = 379,600.07/705.69
  6. Step 6: Final answer
    x = 537.92

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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.