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Finding the Fourth Proportional to 1,197.03, 1,795.56 and 1,133.85

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Solution

The fourth proportional to 1,197.03, 1,795.56 and 1,133.85 is: 1,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.03 : 1,795.56 = 1,133.85 : x
  2. Step 2: Convert to fraction form
    1,197.03/1,795.56 = 1,133.85/x
  3. Step 3: Cross multiply
    1,197.03x = 1,795.56 × 1,133.85
  4. Step 4: Simplify right side
    1,197.03x = 2,035,895.71
  5. Step 5: Solve for x
    x = 2,035,895.71/1,197.03
  6. Step 6: Final answer
    x = 1,700.79

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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.