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Finding the Fourth Proportional to 772, 1,156.74 and 463.12

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Solution

The fourth proportional to 772, 1,156.74 and 463.12 is: 693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    772 : 1,156.74 = 463.12 : x
  2. Step 2: Convert to fraction form
    772/1,156.74 = 463.12/x
  3. Step 3: Cross multiply
    772x = 1,156.74 × 463.12
  4. Step 4: Simplify right side
    772x = 535,709.43
  5. Step 5: Solve for x
    x = 535,709.43/772
  6. Step 6: Final answer
    x = 693.92

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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.