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Finding the Fourth Proportional to 777.82, 1,073.12 and 446

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Solution

The fourth proportional to 777.82, 1,073.12 and 446 is: 615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.82 : 1,073.12 = 446 : x
  2. Step 2: Convert to fraction form
    777.82/1,073.12 = 446/x
  3. Step 3: Cross multiply
    777.82x = 1,073.12 × 446
  4. Step 4: Simplify right side
    777.82x = 478,611.52
  5. Step 5: Solve for x
    x = 478,611.52/777.82
  6. Step 6: Final answer
    x = 615.32

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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.