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Finding the Fourth Proportional to 1,169.84, 1,756.89 and 1,014.53

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Solution

The fourth proportional to 1,169.84, 1,756.89 and 1,014.53 is: 1,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.84 : 1,756.89 = 1,014.53 : x
  2. Step 2: Convert to fraction form
    1,169.84/1,756.89 = 1,014.53/x
  3. Step 3: Cross multiply
    1,169.84x = 1,756.89 × 1,014.53
  4. Step 4: Simplify right side
    1,169.84x = 1,782,408.83
  5. Step 5: Solve for x
    x = 1,782,408.83/1,169.84
  6. Step 6: Final answer
    x = 1,523.63

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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.