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Finding the Fourth Proportional to 772.22, 1,065.11 and 492.16

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Solution

The fourth proportional to 772.22, 1,065.11 and 492.16 is: 678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.22 : 1,065.11 = 492.16 : x
  2. Step 2: Convert to fraction form
    772.22/1,065.11 = 492.16/x
  3. Step 3: Cross multiply
    772.22x = 1,065.11 × 492.16
  4. Step 4: Simplify right side
    772.22x = 524,204.54
  5. Step 5: Solve for x
    x = 524,204.54/772.22
  6. Step 6: Final answer
    x = 678.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.