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Finding the Fourth Proportional to 774.19, 1,068.21 and 459.46

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Solution

The fourth proportional to 774.19, 1,068.21 and 459.46 is: 633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.19 : 1,068.21 = 459.46 : x
  2. Step 2: Convert to fraction form
    774.19/1,068.21 = 459.46/x
  3. Step 3: Cross multiply
    774.19x = 1,068.21 × 459.46
  4. Step 4: Simplify right side
    774.19x = 490,799.77
  5. Step 5: Solve for x
    x = 490,799.77/774.19
  6. Step 6: Final answer
    x = 633.95

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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.