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Finding the Fourth Proportional to 753.15, 1,040.84 and 643.80

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Solution

The fourth proportional to 753.15, 1,040.84 and 643.80 is: 889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.15 : 1,040.84 = 643.80 : x
  2. Step 2: Convert to fraction form
    753.15/1,040.84 = 643.80/x
  3. Step 3: Cross multiply
    753.15x = 1,040.84 × 643.80
  4. Step 4: Simplify right side
    753.15x = 670,092.79
  5. Step 5: Solve for x
    x = 670,092.79/753.15
  6. Step 6: Final answer
    x = 889.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.