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Finding the Fourth Proportional to 784.02, 1,175.75 and 263.91

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Solution

The fourth proportional to 784.02, 1,175.75 and 263.91 is: 395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,175.75 = 263.91 : x
  2. Step 2: Convert to fraction form
    784.02/1,175.75 = 263.91/x
  3. Step 3: Cross multiply
    784.02x = 1,175.75 × 263.91
  4. Step 4: Simplify right side
    784.02x = 310,292.18
  5. Step 5: Solve for x
    x = 310,292.18/784.02
  6. Step 6: Final answer
    x = 395.77

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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.