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Finding the Fourth Proportional to 974.76, 1,460.34 and 821.64

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Solution

The fourth proportional to 974.76, 1,460.34 and 821.64 is: 1,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.76 : 1,460.34 = 821.64 : x
  2. Step 2: Convert to fraction form
    974.76/1,460.34 = 821.64/x
  3. Step 3: Cross multiply
    974.76x = 1,460.34 × 821.64
  4. Step 4: Simplify right side
    974.76x = 1,199,873.76
  5. Step 5: Solve for x
    x = 1,199,873.76/974.76
  6. Step 6: Final answer
    x = 1,230.94

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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.