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Finding the Fourth Proportional to 913.87, 1,261.13 and 499.87

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Solution

The fourth proportional to 913.87, 1,261.13 and 499.87 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.87 : 1,261.13 = 499.87 : x
  2. Step 2: Convert to fraction form
    913.87/1,261.13 = 499.87/x
  3. Step 3: Cross multiply
    913.87x = 1,261.13 × 499.87
  4. Step 4: Simplify right side
    913.87x = 630,401.05
  5. Step 5: Solve for x
    x = 630,401.05/913.87
  6. Step 6: Final answer
    x = 689.81

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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.