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Finding the Fourth Proportional to 1,197.23, 1,795.69 and 889.53

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Solution

The fourth proportional to 1,197.23, 1,795.69 and 889.53 is: 1,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.23 : 1,795.69 = 889.53 : x
  2. Step 2: Convert to fraction form
    1,197.23/1,795.69 = 889.53/x
  3. Step 3: Cross multiply
    1,197.23x = 1,795.69 × 889.53
  4. Step 4: Simplify right side
    1,197.23x = 1,597,327.11
  5. Step 5: Solve for x
    x = 1,597,327.11/1,197.23
  6. Step 6: Final answer
    x = 1,334.18

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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.