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Finding the Fourth Proportional to 776.79, 1,072.04 and 445.23

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Solution

The fourth proportional to 776.79, 1,072.04 and 445.23 is: 614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.79 : 1,072.04 = 445.23 : x
  2. Step 2: Convert to fraction form
    776.79/1,072.04 = 445.23/x
  3. Step 3: Cross multiply
    776.79x = 1,072.04 × 445.23
  4. Step 4: Simplify right side
    776.79x = 477,302.14
  5. Step 5: Solve for x
    x = 477,302.14/776.79
  6. Step 6: Final answer
    x = 614.45

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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.