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Finding the Fourth Proportional to 774.47, 1,068.50 and 442.67

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Solution

The fourth proportional to 774.47, 1,068.50 and 442.67 is: 610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.47 : 1,068.50 = 442.67 : x
  2. Step 2: Convert to fraction form
    774.47/1,068.50 = 442.67/x
  3. Step 3: Cross multiply
    774.47x = 1,068.50 × 442.67
  4. Step 4: Simplify right side
    774.47x = 472,985.34
  5. Step 5: Solve for x
    x = 472,985.34/774.47
  6. Step 6: Final answer
    x = 610.73

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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.