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Finding the Fourth Proportional to 774.09, 1,066.10 and 563.90

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Solution

The fourth proportional to 774.09, 1,066.10 and 563.90 is: 776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.09 : 1,066.10 = 563.90 : x
  2. Step 2: Convert to fraction form
    774.09/1,066.10 = 563.90/x
  3. Step 3: Cross multiply
    774.09x = 1,066.10 × 563.90
  4. Step 4: Simplify right side
    774.09x = 601,165.64
  5. Step 5: Solve for x
    x = 601,165.64/774.09
  6. Step 6: Final answer
    x = 776.61

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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.