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Finding the Fourth Proportional to 913.82, 1,261.06 and 520.84

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Solution

The fourth proportional to 913.82, 1,261.06 and 520.84 is: 718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.82 : 1,261.06 = 520.84 : x
  2. Step 2: Convert to fraction form
    913.82/1,261.06 = 520.84/x
  3. Step 3: Cross multiply
    913.82x = 1,261.06 × 520.84
  4. Step 4: Simplify right side
    913.82x = 656,810.49
  5. Step 5: Solve for x
    x = 656,810.49/913.82
  6. Step 6: Final answer
    x = 718.75

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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.