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Finding the Fourth Proportional to 974.14, 1,460.88 and 388.90

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Solution

The fourth proportional to 974.14, 1,460.88 and 388.90 is: 583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.14 : 1,460.88 = 388.90 : x
  2. Step 2: Convert to fraction form
    974.14/1,460.88 = 388.90/x
  3. Step 3: Cross multiply
    974.14x = 1,460.88 × 388.90
  4. Step 4: Simplify right side
    974.14x = 568,136.23
  5. Step 5: Solve for x
    x = 568,136.23/974.14
  6. Step 6: Final answer
    x = 583.22

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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.