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Finding the Fourth Proportional to 777.70, 1,073.22 and 463.12

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Solution

The fourth proportional to 777.70, 1,073.22 and 463.12 is: 639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.70 : 1,073.22 = 463.12 : x
  2. Step 2: Convert to fraction form
    777.70/1,073.22 = 463.12/x
  3. Step 3: Cross multiply
    777.70x = 1,073.22 × 463.12
  4. Step 4: Simplify right side
    777.70x = 497,025.23
  5. Step 5: Solve for x
    x = 497,025.23/777.70
  6. Step 6: Final answer
    x = 639.10

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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.