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Finding the Fourth Proportional to 801.81, 1,106.51 and 452.58

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Solution

The fourth proportional to 801.81, 1,106.51 and 452.58 is: 624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.81 : 1,106.51 = 452.58 : x
  2. Step 2: Convert to fraction form
    801.81/1,106.51 = 452.58/x
  3. Step 3: Cross multiply
    801.81x = 1,106.51 × 452.58
  4. Step 4: Simplify right side
    801.81x = 500,784.30
  5. Step 5: Solve for x
    x = 500,784.30/801.81
  6. Step 6: Final answer
    x = 624.57

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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.