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Finding the Fourth Proportional to 805.14, 1,206.50 and 480.15

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Solution

The fourth proportional to 805.14, 1,206.50 and 480.15 is: 719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.14 : 1,206.50 = 480.15 : x
  2. Step 2: Convert to fraction form
    805.14/1,206.50 = 480.15/x
  3. Step 3: Cross multiply
    805.14x = 1,206.50 × 480.15
  4. Step 4: Simplify right side
    805.14x = 579,298.57
  5. Step 5: Solve for x
    x = 579,298.57/805.14
  6. Step 6: Final answer
    x = 719.50

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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.