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Finding the Fourth Proportional to 733.99, 1,098.85 and 631.93

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Solution

The fourth proportional to 733.99, 1,098.85 and 631.93 is: 946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.99 : 1,098.85 = 631.93 : x
  2. Step 2: Convert to fraction form
    733.99/1,098.85 = 631.93/x
  3. Step 3: Cross multiply
    733.99x = 1,098.85 × 631.93
  4. Step 4: Simplify right side
    733.99x = 694,396.28
  5. Step 5: Solve for x
    x = 694,396.28/733.99
  6. Step 6: Final answer
    x = 946.06

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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.