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Finding the Fourth Proportional to 766.63, 1,057.86 and 471.84

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Solution

The fourth proportional to 766.63, 1,057.86 and 471.84 is: 651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.63 : 1,057.86 = 471.84 : x
  2. Step 2: Convert to fraction form
    766.63/1,057.86 = 471.84/x
  3. Step 3: Cross multiply
    766.63x = 1,057.86 × 471.84
  4. Step 4: Simplify right side
    766.63x = 499,140.66
  5. Step 5: Solve for x
    x = 499,140.66/766.63
  6. Step 6: Final answer
    x = 651.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.