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Finding the Fourth Proportional to 1,191.85, 1,644.84 and 719.86

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Solution

The fourth proportional to 1,191.85, 1,644.84 and 719.86 is: 993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.85 : 1,644.84 = 719.86 : x
  2. Step 2: Convert to fraction form
    1,191.85/1,644.84 = 719.86/x
  3. Step 3: Cross multiply
    1,191.85x = 1,644.84 × 719.86
  4. Step 4: Simplify right side
    1,191.85x = 1,184,054.52
  5. Step 5: Solve for x
    x = 1,184,054.52/1,191.85
  6. Step 6: Final answer
    x = 993.46

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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.