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Finding the Fourth Proportional to 914.73, 1,262.31 and 521.73

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Solution

The fourth proportional to 914.73, 1,262.31 and 521.73 is: 719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.73 : 1,262.31 = 521.73 : x
  2. Step 2: Convert to fraction form
    914.73/1,262.31 = 521.73/x
  3. Step 3: Cross multiply
    914.73x = 1,262.31 × 521.73
  4. Step 4: Simplify right side
    914.73x = 658,585.00
  5. Step 5: Solve for x
    x = 658,585.00/914.73
  6. Step 6: Final answer
    x = 719.98

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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.