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Finding the Fourth Proportional to 913.40, 1,260.44 and 499.40

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Solution

The fourth proportional to 913.40, 1,260.44 and 499.40 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.40 : 1,260.44 = 499.40 : x
  2. Step 2: Convert to fraction form
    913.40/1,260.44 = 499.40/x
  3. Step 3: Cross multiply
    913.40x = 1,260.44 × 499.40
  4. Step 4: Simplify right side
    913.40x = 629,463.74
  5. Step 5: Solve for x
    x = 629,463.74/913.40
  6. Step 6: Final answer
    x = 689.14

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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.