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Finding the Fourth Proportional to 772.53, 1,066.29 and 478.05

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Solution

The fourth proportional to 772.53, 1,066.29 and 478.05 is: 659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.53 : 1,066.29 = 478.05 : x
  2. Step 2: Convert to fraction form
    772.53/1,066.29 = 478.05/x
  3. Step 3: Cross multiply
    772.53x = 1,066.29 × 478.05
  4. Step 4: Simplify right side
    772.53x = 509,739.93
  5. Step 5: Solve for x
    x = 509,739.93/772.53
  6. Step 6: Final answer
    x = 659.83

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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.