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Finding the Fourth Proportional to 777.57, 1,073.12 and 445.95

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Solution

The fourth proportional to 777.57, 1,073.12 and 445.95 is: 615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.57 : 1,073.12 = 445.95 : x
  2. Step 2: Convert to fraction form
    777.57/1,073.12 = 445.95/x
  3. Step 3: Cross multiply
    777.57x = 1,073.12 × 445.95
  4. Step 4: Simplify right side
    777.57x = 478,555.63
  5. Step 5: Solve for x
    x = 478,555.63/777.57
  6. Step 6: Final answer
    x = 615.45

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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.