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Finding the Fourth Proportional to 1,362.07, 1,879.20 and 864.93

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Solution

The fourth proportional to 1,362.07, 1,879.20 and 864.93 is: 1,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.07 : 1,879.20 = 864.93 : x
  2. Step 2: Convert to fraction form
    1,362.07/1,879.20 = 864.93/x
  3. Step 3: Cross multiply
    1,362.07x = 1,879.20 × 864.93
  4. Step 4: Simplify right side
    1,362.07x = 1,625,372.93
  5. Step 5: Solve for x
    x = 1,625,372.93/1,362.07
  6. Step 6: Final answer
    x = 1,193.31

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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.