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Finding the Fourth Proportional to 1,197.51, 1,650.83 and 865.41

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Solution

The fourth proportional to 1,197.51, 1,650.83 and 865.41 is: 1,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.51 : 1,650.83 = 865.41 : x
  2. Step 2: Convert to fraction form
    1,197.51/1,650.83 = 865.41/x
  3. Step 3: Cross multiply
    1,197.51x = 1,650.83 × 865.41
  4. Step 4: Simplify right side
    1,197.51x = 1,428,644.79
  5. Step 5: Solve for x
    x = 1,428,644.79/1,197.51
  6. Step 6: Final answer
    x = 1,193.01

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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.