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Finding the Fourth Proportional to 774.34, 1,068.66 and 442.70

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Solution

The fourth proportional to 774.34, 1,068.66 and 442.70 is: 610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.34 : 1,068.66 = 442.70 : x
  2. Step 2: Convert to fraction form
    774.34/1,068.66 = 442.70/x
  3. Step 3: Cross multiply
    774.34x = 1,068.66 × 442.70
  4. Step 4: Simplify right side
    774.34x = 473,094.03
  5. Step 5: Solve for x
    x = 473,094.03/774.34
  6. Step 6: Final answer
    x = 610.97

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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.