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Finding the Fourth Proportional to 913.71, 1,371.22 and 524.03

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Solution

The fourth proportional to 913.71, 1,371.22 and 524.03 is: 786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.71 : 1,371.22 = 524.03 : x
  2. Step 2: Convert to fraction form
    913.71/1,371.22 = 524.03/x
  3. Step 3: Cross multiply
    913.71x = 1,371.22 × 524.03
  4. Step 4: Simplify right side
    913.71x = 718,562.53
  5. Step 5: Solve for x
    x = 718,562.53/913.71
  6. Step 6: Final answer
    x = 786.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.