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Finding the Fourth Proportional to 774.10, 1,068.32 and 442.46

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Solution

The fourth proportional to 774.10, 1,068.32 and 442.46 is: 610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.10 : 1,068.32 = 442.46 : x
  2. Step 2: Convert to fraction form
    774.10/1,068.32 = 442.46/x
  3. Step 3: Cross multiply
    774.10x = 1,068.32 × 442.46
  4. Step 4: Simplify right side
    774.10x = 472,688.87
  5. Step 5: Solve for x
    x = 472,688.87/774.10
  6. Step 6: Final answer
    x = 610.63

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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.