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Finding the Fourth Proportional to 862.53, 1,190.09 and 508.43

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Solution

The fourth proportional to 862.53, 1,190.09 and 508.43 is: 701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.53 : 1,190.09 = 508.43 : x
  2. Step 2: Convert to fraction form
    862.53/1,190.09 = 508.43/x
  3. Step 3: Cross multiply
    862.53x = 1,190.09 × 508.43
  4. Step 4: Simplify right side
    862.53x = 605,068.97
  5. Step 5: Solve for x
    x = 605,068.97/862.53
  6. Step 6: Final answer
    x = 701.50

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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.