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Finding the Fourth Proportional to 809.72, 1,117.38 and 495.50

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Solution

The fourth proportional to 809.72, 1,117.38 and 495.50 is: 683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.72 : 1,117.38 = 495.50 : x
  2. Step 2: Convert to fraction form
    809.72/1,117.38 = 495.50/x
  3. Step 3: Cross multiply
    809.72x = 1,117.38 × 495.50
  4. Step 4: Simplify right side
    809.72x = 553,659.31
  5. Step 5: Solve for x
    x = 553,659.31/809.72
  6. Step 6: Final answer
    x = 683.77

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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.