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Finding the Fourth Proportional to 733.41, 1,095.82 and 707.90

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Solution

The fourth proportional to 733.41, 1,095.82 and 707.90 is: 1,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.41 : 1,095.82 = 707.90 : x
  2. Step 2: Convert to fraction form
    733.41/1,095.82 = 707.90/x
  3. Step 3: Cross multiply
    733.41x = 1,095.82 × 707.90
  4. Step 4: Simplify right side
    733.41x = 775,723.73
  5. Step 5: Solve for x
    x = 775,723.73/733.41
  6. Step 6: Final answer
    x = 1,057.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.