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Finding the Fourth Proportional to 777.49, 1,073.18 and 462.98

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Solution

The fourth proportional to 777.49, 1,073.18 and 462.98 is: 639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.49 : 1,073.18 = 462.98 : x
  2. Step 2: Convert to fraction form
    777.49/1,073.18 = 462.98/x
  3. Step 3: Cross multiply
    777.49x = 1,073.18 × 462.98
  4. Step 4: Simplify right side
    777.49x = 496,861.24
  5. Step 5: Solve for x
    x = 496,861.24/777.49
  6. Step 6: Final answer
    x = 639.06

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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.