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Finding the Fourth Proportional to 914.66, 1,262.28 and 521.81

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Solution

The fourth proportional to 914.66, 1,262.28 and 521.81 is: 720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.66 : 1,262.28 = 521.81 : x
  2. Step 2: Convert to fraction form
    914.66/1,262.28 = 521.81/x
  3. Step 3: Cross multiply
    914.66x = 1,262.28 × 521.81
  4. Step 4: Simplify right side
    914.66x = 658,670.33
  5. Step 5: Solve for x
    x = 658,670.33/914.66
  6. Step 6: Final answer
    x = 720.13

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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.