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Finding the Fourth Proportional to 777.12, 1,164.72 and 314.64

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Solution

The fourth proportional to 777.12, 1,164.72 and 314.64 is: 471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.12 : 1,164.72 = 314.64 : x
  2. Step 2: Convert to fraction form
    777.12/1,164.72 = 314.64/x
  3. Step 3: Cross multiply
    777.12x = 1,164.72 × 314.64
  4. Step 4: Simplify right side
    777.12x = 366,467.50
  5. Step 5: Solve for x
    x = 366,467.50/777.12
  6. Step 6: Final answer
    x = 471.57

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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.