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Finding the Fourth Proportional to 820.02, 1,228.67 and 716.14

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Solution

The fourth proportional to 820.02, 1,228.67 and 716.14 is: 1,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.02 : 1,228.67 = 716.14 : x
  2. Step 2: Convert to fraction form
    820.02/1,228.67 = 716.14/x
  3. Step 3: Cross multiply
    820.02x = 1,228.67 × 716.14
  4. Step 4: Simplify right side
    820.02x = 879,900.37
  5. Step 5: Solve for x
    x = 879,900.37/820.02
  6. Step 6: Final answer
    x = 1,073.02

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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.