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Finding the Fourth Proportional to 772.72, 1,156.23 and 464.78

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Solution

The fourth proportional to 772.72, 1,156.23 and 464.78 is: 695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.72 : 1,156.23 = 464.78 : x
  2. Step 2: Convert to fraction form
    772.72/1,156.23 = 464.78/x
  3. Step 3: Cross multiply
    772.72x = 1,156.23 × 464.78
  4. Step 4: Simplify right side
    772.72x = 537,392.58
  5. Step 5: Solve for x
    x = 537,392.58/772.72
  6. Step 6: Final answer
    x = 695.46

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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.