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Finding the Fourth Proportional to 777.87, 1,073.81 and 463.24

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Solution

The fourth proportional to 777.87, 1,073.81 and 463.24 is: 639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.87 : 1,073.81 = 463.24 : x
  2. Step 2: Convert to fraction form
    777.87/1,073.81 = 463.24/x
  3. Step 3: Cross multiply
    777.87x = 1,073.81 × 463.24
  4. Step 4: Simplify right side
    777.87x = 497,431.74
  5. Step 5: Solve for x
    x = 497,431.74/777.87
  6. Step 6: Final answer
    x = 639.48

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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.