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Finding the Fourth Proportional to 974.28, 1,461.38 and 486.93

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Solution

The fourth proportional to 974.28, 1,461.38 and 486.93 is: 730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.28 : 1,461.38 = 486.93 : x
  2. Step 2: Convert to fraction form
    974.28/1,461.38 = 486.93/x
  3. Step 3: Cross multiply
    974.28x = 1,461.38 × 486.93
  4. Step 4: Simplify right side
    974.28x = 711,587.33
  5. Step 5: Solve for x
    x = 711,587.33/974.28
  6. Step 6: Final answer
    x = 730.37

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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.