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Finding the Fourth Proportional to 700.62, 1,052.64 and 495.78

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Solution

The fourth proportional to 700.62, 1,052.64 and 495.78 is: 744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.62 : 1,052.64 = 495.78 : x
  2. Step 2: Convert to fraction form
    700.62/1,052.64 = 495.78/x
  3. Step 3: Cross multiply
    700.62x = 1,052.64 × 495.78
  4. Step 4: Simplify right side
    700.62x = 521,877.86
  5. Step 5: Solve for x
    x = 521,877.86/700.62
  6. Step 6: Final answer
    x = 744.88

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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.