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Finding the Fourth Proportional to 774.92, 1,069.12 and 476.17

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Solution

The fourth proportional to 774.92, 1,069.12 and 476.17 is: 656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.92 : 1,069.12 = 476.17 : x
  2. Step 2: Convert to fraction form
    774.92/1,069.12 = 476.17/x
  3. Step 3: Cross multiply
    774.92x = 1,069.12 × 476.17
  4. Step 4: Simplify right side
    774.92x = 509,082.87
  5. Step 5: Solve for x
    x = 509,082.87/774.92
  6. Step 6: Final answer
    x = 656.95

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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.