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Finding the Fourth Proportional to 974.15, 1,459.79 and 480.41

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Solution

The fourth proportional to 974.15, 1,459.79 and 480.41 is: 719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.15 : 1,459.79 = 480.41 : x
  2. Step 2: Convert to fraction form
    974.15/1,459.79 = 480.41/x
  3. Step 3: Cross multiply
    974.15x = 1,459.79 × 480.41
  4. Step 4: Simplify right side
    974.15x = 701,297.71
  5. Step 5: Solve for x
    x = 701,297.71/974.15
  6. Step 6: Final answer
    x = 719.91

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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.