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Finding the Fourth Proportional to 773.96, 1,068.14 and 442.54

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Solution

The fourth proportional to 773.96, 1,068.14 and 442.54 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.96 : 1,068.14 = 442.54 : x
  2. Step 2: Convert to fraction form
    773.96/1,068.14 = 442.54/x
  3. Step 3: Cross multiply
    773.96x = 1,068.14 × 442.54
  4. Step 4: Simplify right side
    773.96x = 472,693.11
  5. Step 5: Solve for x
    x = 472,693.11/773.96
  6. Step 6: Final answer
    x = 610.74

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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.