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Finding the Fourth Proportional to 914.66, 1,262.09 and 521.54

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Solution

The fourth proportional to 914.66, 1,262.09 and 521.54 is: 719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.66 : 1,262.09 = 521.54 : x
  2. Step 2: Convert to fraction form
    914.66/1,262.09 = 521.54/x
  3. Step 3: Cross multiply
    914.66x = 1,262.09 × 521.54
  4. Step 4: Simplify right side
    914.66x = 658,230.42
  5. Step 5: Solve for x
    x = 658,230.42/914.66
  6. Step 6: Final answer
    x = 719.64

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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.