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Finding the Fourth Proportional to 1,197.99, 1,795.50 and 925.11

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Solution

The fourth proportional to 1,197.99, 1,795.50 and 925.11 is: 1,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.99 : 1,795.50 = 925.11 : x
  2. Step 2: Convert to fraction form
    1,197.99/1,795.50 = 925.11/x
  3. Step 3: Cross multiply
    1,197.99x = 1,795.50 × 925.11
  4. Step 4: Simplify right side
    1,197.99x = 1,661,035.01
  5. Step 5: Solve for x
    x = 1,661,035.01/1,197.99
  6. Step 6: Final answer
    x = 1,386.52

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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.