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Finding the Fourth Proportional to 784.77, 1,175.55 and 629.85

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Solution

The fourth proportional to 784.77, 1,175.55 and 629.85 is: 943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.77 : 1,175.55 = 629.85 : x
  2. Step 2: Convert to fraction form
    784.77/1,175.55 = 629.85/x
  3. Step 3: Cross multiply
    784.77x = 1,175.55 × 629.85
  4. Step 4: Simplify right side
    784.77x = 740,422.21
  5. Step 5: Solve for x
    x = 740,422.21/784.77
  6. Step 6: Final answer
    x = 943.49

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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.