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Finding the Fourth Proportional to 914, 1,261.34 and 520.88

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Solution

The fourth proportional to 914, 1,261.34 and 520.88 is: 718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    914 : 1,261.34 = 520.88 : x
  2. Step 2: Convert to fraction form
    914/1,261.34 = 520.88/x
  3. Step 3: Cross multiply
    914x = 1,261.34 × 520.88
  4. Step 4: Simplify right side
    914x = 657,006.78
  5. Step 5: Solve for x
    x = 657,006.78/914
  6. Step 6: Final answer
    x = 718.83

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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.