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Finding the Fourth Proportional to 784.37, 1,077.95 and 644.24

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Solution

The fourth proportional to 784.37, 1,077.95 and 644.24 is: 885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.37 : 1,077.95 = 644.24 : x
  2. Step 2: Convert to fraction form
    784.37/1,077.95 = 644.24/x
  3. Step 3: Cross multiply
    784.37x = 1,077.95 × 644.24
  4. Step 4: Simplify right side
    784.37x = 694,449.90
  5. Step 5: Solve for x
    x = 694,449.90/784.37
  6. Step 6: Final answer
    x = 885.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.