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Finding the Fourth Proportional to 914.33, 1,261.75 and 521.34

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Solution

The fourth proportional to 914.33, 1,261.75 and 521.34 is: 719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.33 : 1,261.75 = 521.34 : x
  2. Step 2: Convert to fraction form
    914.33/1,261.75 = 521.34/x
  3. Step 3: Cross multiply
    914.33x = 1,261.75 × 521.34
  4. Step 4: Simplify right side
    914.33x = 657,800.75
  5. Step 5: Solve for x
    x = 657,800.75/914.33
  6. Step 6: Final answer
    x = 719.43

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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.