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Finding the Fourth Proportional to 826.84, 1,141.08 and 495.32

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Solution

The fourth proportional to 826.84, 1,141.08 and 495.32 is: 683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.84 : 1,141.08 = 495.32 : x
  2. Step 2: Convert to fraction form
    826.84/1,141.08 = 495.32/x
  3. Step 3: Cross multiply
    826.84x = 1,141.08 × 495.32
  4. Step 4: Simplify right side
    826.84x = 565,199.75
  5. Step 5: Solve for x
    x = 565,199.75/826.84
  6. Step 6: Final answer
    x = 683.57

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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.