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Finding the Fourth Proportional to 700.83, 1,052.15 and 495.49

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Solution

The fourth proportional to 700.83, 1,052.15 and 495.49 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.83 : 1,052.15 = 495.49 : x
  2. Step 2: Convert to fraction form
    700.83/1,052.15 = 495.49/x
  3. Step 3: Cross multiply
    700.83x = 1,052.15 × 495.49
  4. Step 4: Simplify right side
    700.83x = 521,329.80
  5. Step 5: Solve for x
    x = 521,329.80/700.83
  6. Step 6: Final answer
    x = 743.87

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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.