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Finding the Fourth Proportional to 1,424.13, 1,964.87 and 864.93

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Solution

The fourth proportional to 1,424.13, 1,964.87 and 864.93 is: 1,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.13 : 1,964.87 = 864.93 : x
  2. Step 2: Convert to fraction form
    1,424.13/1,964.87 = 864.93/x
  3. Step 3: Cross multiply
    1,424.13x = 1,964.87 × 864.93
  4. Step 4: Simplify right side
    1,424.13x = 1,699,470.68
  5. Step 5: Solve for x
    x = 1,699,470.68/1,424.13
  6. Step 6: Final answer
    x = 1,193.34

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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.