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Finding the Fourth Proportional to 772.49, 1,065.17 and 492.28

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Solution

The fourth proportional to 772.49, 1,065.17 and 492.28 is: 678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.49 : 1,065.17 = 492.28 : x
  2. Step 2: Convert to fraction form
    772.49/1,065.17 = 492.28/x
  3. Step 3: Cross multiply
    772.49x = 1,065.17 × 492.28
  4. Step 4: Simplify right side
    772.49x = 524,360.46
  5. Step 5: Solve for x
    x = 524,360.46/772.49
  6. Step 6: Final answer
    x = 678.79

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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.