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Finding the Fourth Proportional to 833.28, 1,252.62 and 807.36

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Solution

The fourth proportional to 833.28, 1,252.62 and 807.36 is: 1,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.28 : 1,252.62 = 807.36 : x
  2. Step 2: Convert to fraction form
    833.28/1,252.62 = 807.36/x
  3. Step 3: Cross multiply
    833.28x = 1,252.62 × 807.36
  4. Step 4: Simplify right side
    833.28x = 1,011,315.28
  5. Step 5: Solve for x
    x = 1,011,315.28/833.28
  6. Step 6: Final answer
    x = 1,213.66

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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.