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Finding the Fourth Proportional to 974.38, 1,460.52 and 486.34

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Solution

The fourth proportional to 974.38, 1,460.52 and 486.34 is: 728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.38 : 1,460.52 = 486.34 : x
  2. Step 2: Convert to fraction form
    974.38/1,460.52 = 486.34/x
  3. Step 3: Cross multiply
    974.38x = 1,460.52 × 486.34
  4. Step 4: Simplify right side
    974.38x = 710,309.30
  5. Step 5: Solve for x
    x = 710,309.30/974.38
  6. Step 6: Final answer
    x = 728.99

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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.