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Finding the Fourth Proportional to 777.44, 1,073.06 and 446.05

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Solution

The fourth proportional to 777.44, 1,073.06 and 446.05 is: 615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.44 : 1,073.06 = 446.05 : x
  2. Step 2: Convert to fraction form
    777.44/1,073.06 = 446.05/x
  3. Step 3: Cross multiply
    777.44x = 1,073.06 × 446.05
  4. Step 4: Simplify right side
    777.44x = 478,635.67
  5. Step 5: Solve for x
    x = 478,635.67/777.44
  6. Step 6: Final answer
    x = 615.66

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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.