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Finding the Fourth Proportional to 777.98, 1,073.53 and 498.31

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Solution

The fourth proportional to 777.98, 1,073.53 and 498.31 is: 687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.98 : 1,073.53 = 498.31 : x
  2. Step 2: Convert to fraction form
    777.98/1,073.53 = 498.31/x
  3. Step 3: Cross multiply
    777.98x = 1,073.53 × 498.31
  4. Step 4: Simplify right side
    777.98x = 534,950.73
  5. Step 5: Solve for x
    x = 534,950.73/777.98
  6. Step 6: Final answer
    x = 687.62

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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.