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Finding the Fourth Proportional to 776.06, 1,164.42 and 314.17

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Solution

The fourth proportional to 776.06, 1,164.42 and 314.17 is: 471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.06 : 1,164.42 = 314.17 : x
  2. Step 2: Convert to fraction form
    776.06/1,164.42 = 314.17/x
  3. Step 3: Cross multiply
    776.06x = 1,164.42 × 314.17
  4. Step 4: Simplify right side
    776.06x = 365,821.74
  5. Step 5: Solve for x
    x = 365,821.74/776.06
  6. Step 6: Final answer
    x = 471.38

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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.