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Finding the Fourth Proportional to 974.14, 1,459.91 and 479.79

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Solution

The fourth proportional to 974.14, 1,459.91 and 479.79 is: 719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.14 : 1,459.91 = 479.79 : x
  2. Step 2: Convert to fraction form
    974.14/1,459.91 = 479.79/x
  3. Step 3: Cross multiply
    974.14x = 1,459.91 × 479.79
  4. Step 4: Simplify right side
    974.14x = 700,450.22
  5. Step 5: Solve for x
    x = 700,450.22/974.14
  6. Step 6: Final answer
    x = 719.04

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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.