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Finding the Fourth Proportional to 1,424.03, 1,965.29 and 864.36

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Solution

The fourth proportional to 1,424.03, 1,965.29 and 864.36 is: 1,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.03 : 1,965.29 = 864.36 : x
  2. Step 2: Convert to fraction form
    1,424.03/1,965.29 = 864.36/x
  3. Step 3: Cross multiply
    1,424.03x = 1,965.29 × 864.36
  4. Step 4: Simplify right side
    1,424.03x = 1,698,713.74
  5. Step 5: Solve for x
    x = 1,698,713.74/1,424.03
  6. Step 6: Final answer
    x = 1,192.90

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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.