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Finding the Fourth Proportional to 733.80, 1,012.78 and 419.08

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Solution

The fourth proportional to 733.80, 1,012.78 and 419.08 is: 578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.80 : 1,012.78 = 419.08 : x
  2. Step 2: Convert to fraction form
    733.80/1,012.78 = 419.08/x
  3. Step 3: Cross multiply
    733.80x = 1,012.78 × 419.08
  4. Step 4: Simplify right side
    733.80x = 424,435.84
  5. Step 5: Solve for x
    x = 424,435.84/733.80
  6. Step 6: Final answer
    x = 578.41

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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.