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Finding the Fourth Proportional to 1,122.81, 1,683.68 and 635.73

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Solution

The fourth proportional to 1,122.81, 1,683.68 and 635.73 is: 953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.81 : 1,683.68 = 635.73 : x
  2. Step 2: Convert to fraction form
    1,122.81/1,683.68 = 635.73/x
  3. Step 3: Cross multiply
    1,122.81x = 1,683.68 × 635.73
  4. Step 4: Simplify right side
    1,122.81x = 1,070,362.71
  5. Step 5: Solve for x
    x = 1,070,362.71/1,122.81
  6. Step 6: Final answer
    x = 953.29

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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.