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Finding the Fourth Proportional to 774, 1,068.12 and 424.71

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Solution

The fourth proportional to 774, 1,068.12 and 424.71 is: 586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    774 : 1,068.12 = 424.71 : x
  2. Step 2: Convert to fraction form
    774/1,068.12 = 424.71/x
  3. Step 3: Cross multiply
    774x = 1,068.12 × 424.71
  4. Step 4: Simplify right side
    774x = 453,641.25
  5. Step 5: Solve for x
    x = 453,641.25/774
  6. Step 6: Final answer
    x = 586.10

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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.