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Finding the Fourth Proportional to 884.84, 1,326.74 and 495.23

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Solution

The fourth proportional to 884.84, 1,326.74 and 495.23 is: 742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.84 : 1,326.74 = 495.23 : x
  2. Step 2: Convert to fraction form
    884.84/1,326.74 = 495.23/x
  3. Step 3: Cross multiply
    884.84x = 1,326.74 × 495.23
  4. Step 4: Simplify right side
    884.84x = 657,032.34
  5. Step 5: Solve for x
    x = 657,032.34/884.84
  6. Step 6: Final answer
    x = 742.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.