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Finding the Fourth Proportional to 776.37, 1,164.60 and 314.14

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Solution

The fourth proportional to 776.37, 1,164.60 and 314.14 is: 471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.37 : 1,164.60 = 314.14 : x
  2. Step 2: Convert to fraction form
    776.37/1,164.60 = 314.14/x
  3. Step 3: Cross multiply
    776.37x = 1,164.60 × 314.14
  4. Step 4: Simplify right side
    776.37x = 365,849.24
  5. Step 5: Solve for x
    x = 365,849.24/776.37
  6. Step 6: Final answer
    x = 471.23

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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.