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Finding the Fourth Proportional to 774.19, 1,068.06 and 442.54

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Solution

The fourth proportional to 774.19, 1,068.06 and 442.54 is: 610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.19 : 1,068.06 = 442.54 : x
  2. Step 2: Convert to fraction form
    774.19/1,068.06 = 442.54/x
  3. Step 3: Cross multiply
    774.19x = 1,068.06 × 442.54
  4. Step 4: Simplify right side
    774.19x = 472,659.27
  5. Step 5: Solve for x
    x = 472,659.27/774.19
  6. Step 6: Final answer
    x = 610.52

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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.