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Finding the Fourth Proportional to 777.64, 1,073.10 and 445.94

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Solution

The fourth proportional to 777.64, 1,073.10 and 445.94 is: 615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.64 : 1,073.10 = 445.94 : x
  2. Step 2: Convert to fraction form
    777.64/1,073.10 = 445.94/x
  3. Step 3: Cross multiply
    777.64x = 1,073.10 × 445.94
  4. Step 4: Simplify right side
    777.64x = 478,538.21
  5. Step 5: Solve for x
    x = 478,538.21/777.64
  6. Step 6: Final answer
    x = 615.37

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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.