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Finding the Fourth Proportional to 777.59, 1,165.47 and 314.75

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Solution

The fourth proportional to 777.59, 1,165.47 and 314.75 is: 471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.59 : 1,165.47 = 314.75 : x
  2. Step 2: Convert to fraction form
    777.59/1,165.47 = 314.75/x
  3. Step 3: Cross multiply
    777.59x = 1,165.47 × 314.75
  4. Step 4: Simplify right side
    777.59x = 366,825.86
  5. Step 5: Solve for x
    x = 366,825.86/777.59
  6. Step 6: Final answer
    x = 471.75

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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.