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Finding the Fourth Proportional to 914.68, 1,262.13 and 521.62

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Solution

The fourth proportional to 914.68, 1,262.13 and 521.62 is: 719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.68 : 1,262.13 = 521.62 : x
  2. Step 2: Convert to fraction form
    914.68/1,262.13 = 521.62/x
  3. Step 3: Cross multiply
    914.68x = 1,262.13 × 521.62
  4. Step 4: Simplify right side
    914.68x = 658,352.25
  5. Step 5: Solve for x
    x = 658,352.25/914.68
  6. Step 6: Final answer
    x = 719.76

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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.