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Finding the Fourth Proportional to 776.41, 1,164.47 and 314.07

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Solution

The fourth proportional to 776.41, 1,164.47 and 314.07 is: 471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.41 : 1,164.47 = 314.07 : x
  2. Step 2: Convert to fraction form
    776.41/1,164.47 = 314.07/x
  3. Step 3: Cross multiply
    776.41x = 1,164.47 × 314.07
  4. Step 4: Simplify right side
    776.41x = 365,725.09
  5. Step 5: Solve for x
    x = 365,725.09/776.41
  6. Step 6: Final answer
    x = 471.05

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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.