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Finding the Fourth Proportional to 1,169.86, 1,754.05 and 657.22

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Solution

The fourth proportional to 1,169.86, 1,754.05 and 657.22 is: 985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.86 : 1,754.05 = 657.22 : x
  2. Step 2: Convert to fraction form
    1,169.86/1,754.05 = 657.22/x
  3. Step 3: Cross multiply
    1,169.86x = 1,754.05 × 657.22
  4. Step 4: Simplify right side
    1,169.86x = 1,152,796.74
  5. Step 5: Solve for x
    x = 1,152,796.74/1,169.86
  6. Step 6: Final answer
    x = 985.41

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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.