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Finding the Fourth Proportional to 776.74, 1,165.11 and 470.56

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Solution

The fourth proportional to 776.74, 1,165.11 and 470.56 is: 705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.74 : 1,165.11 = 470.56 : x
  2. Step 2: Convert to fraction form
    776.74/1,165.11 = 470.56/x
  3. Step 3: Cross multiply
    776.74x = 1,165.11 × 470.56
  4. Step 4: Simplify right side
    776.74x = 548,254.16
  5. Step 5: Solve for x
    x = 548,254.16/776.74
  6. Step 6: Final answer
    x = 705.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.