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Finding the Fourth Proportional to 774.21, 1,068.42 and 424.92

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Solution

The fourth proportional to 774.21, 1,068.42 and 424.92 is: 586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.21 : 1,068.42 = 424.92 : x
  2. Step 2: Convert to fraction form
    774.21/1,068.42 = 424.92/x
  3. Step 3: Cross multiply
    774.21x = 1,068.42 × 424.92
  4. Step 4: Simplify right side
    774.21x = 453,993.03
  5. Step 5: Solve for x
    x = 453,993.03/774.21
  6. Step 6: Final answer
    x = 586.40

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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.