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Finding the Fourth Proportional to 1,197.87, 1,798.31 and 1,142.47

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Solution

The fourth proportional to 1,197.87, 1,798.31 and 1,142.47 is: 1,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.87 : 1,798.31 = 1,142.47 : x
  2. Step 2: Convert to fraction form
    1,197.87/1,798.31 = 1,142.47/x
  3. Step 3: Cross multiply
    1,197.87x = 1,798.31 × 1,142.47
  4. Step 4: Simplify right side
    1,197.87x = 2,054,515.23
  5. Step 5: Solve for x
    x = 2,054,515.23/1,197.87
  6. Step 6: Final answer
    x = 1,715.14

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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.