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Finding the Fourth Proportional to 801.78, 1,106.46 and 433.78

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Solution

The fourth proportional to 801.78, 1,106.46 and 433.78 is: 598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.78 : 1,106.46 = 433.78 : x
  2. Step 2: Convert to fraction form
    801.78/1,106.46 = 433.78/x
  3. Step 3: Cross multiply
    801.78x = 1,106.46 × 433.78
  4. Step 4: Simplify right side
    801.78x = 479,960.22
  5. Step 5: Solve for x
    x = 479,960.22/801.78
  6. Step 6: Final answer
    x = 598.62

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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.