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Finding the Fourth Proportional to 1,305.90, 1,802.64 and 864.41

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Solution

The fourth proportional to 1,305.90, 1,802.64 and 864.41 is: 1,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.90 : 1,802.64 = 864.41 : x
  2. Step 2: Convert to fraction form
    1,305.90/1,802.64 = 864.41/x
  3. Step 3: Cross multiply
    1,305.90x = 1,802.64 × 864.41
  4. Step 4: Simplify right side
    1,305.90x = 1,558,211.03
  5. Step 5: Solve for x
    x = 1,558,211.03/1,305.90
  6. Step 6: Final answer
    x = 1,193.21

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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.