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Finding the Fourth Proportional to 914.93, 1,262.57 and 521.92

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Solution

The fourth proportional to 914.93, 1,262.57 and 521.92 is: 720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.93 : 1,262.57 = 521.92 : x
  2. Step 2: Convert to fraction form
    914.93/1,262.57 = 521.92/x
  3. Step 3: Cross multiply
    914.93x = 1,262.57 × 521.92
  4. Step 4: Simplify right side
    914.93x = 658,960.53
  5. Step 5: Solve for x
    x = 658,960.53/914.93
  6. Step 6: Final answer
    x = 720.23

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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.