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Finding the Fourth Proportional to 801.63, 1,106.29 and 452.31

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Solution

The fourth proportional to 801.63, 1,106.29 and 452.31 is: 624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.63 : 1,106.29 = 452.31 : x
  2. Step 2: Convert to fraction form
    801.63/1,106.29 = 452.31/x
  3. Step 3: Cross multiply
    801.63x = 1,106.29 × 452.31
  4. Step 4: Simplify right side
    801.63x = 500,389.93
  5. Step 5: Solve for x
    x = 500,389.93/801.63
  6. Step 6: Final answer
    x = 624.21

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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.