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Finding the Fourth Proportional to 1,163.74, 1,604.65 and 897.58

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Solution

The fourth proportional to 1,163.74, 1,604.65 and 897.58 is: 1,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.74 : 1,604.65 = 897.58 : x
  2. Step 2: Convert to fraction form
    1,163.74/1,604.65 = 897.58/x
  3. Step 3: Cross multiply
    1,163.74x = 1,604.65 × 897.58
  4. Step 4: Simplify right side
    1,163.74x = 1,440,301.75
  5. Step 5: Solve for x
    x = 1,440,301.75/1,163.74
  6. Step 6: Final answer
    x = 1,237.65

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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.