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Finding the Fourth Proportional to 733.75, 1,012.57 and 402.17

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Solution

The fourth proportional to 733.75, 1,012.57 and 402.17 is: 554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.75 : 1,012.57 = 402.17 : x
  2. Step 2: Convert to fraction form
    733.75/1,012.57 = 402.17/x
  3. Step 3: Cross multiply
    733.75x = 1,012.57 × 402.17
  4. Step 4: Simplify right side
    733.75x = 407,219.21
  5. Step 5: Solve for x
    x = 407,219.21/733.75
  6. Step 6: Final answer
    x = 554.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.