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Finding the Fourth Proportional to 974.06, 1,460.18 and 389.44

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Solution

The fourth proportional to 974.06, 1,460.18 and 389.44 is: 583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.06 : 1,460.18 = 389.44 : x
  2. Step 2: Convert to fraction form
    974.06/1,460.18 = 389.44/x
  3. Step 3: Cross multiply
    974.06x = 1,460.18 × 389.44
  4. Step 4: Simplify right side
    974.06x = 568,652.50
  5. Step 5: Solve for x
    x = 568,652.50/974.06
  6. Step 6: Final answer
    x = 583.80

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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.