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Finding the Fourth Proportional to 1,398.72, 1,929.72 and 809.04

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Solution

The fourth proportional to 1,398.72, 1,929.72 and 809.04 is: 1,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.72 : 1,929.72 = 809.04 : x
  2. Step 2: Convert to fraction form
    1,398.72/1,929.72 = 809.04/x
  3. Step 3: Cross multiply
    1,398.72x = 1,929.72 × 809.04
  4. Step 4: Simplify right side
    1,398.72x = 1,561,220.67
  5. Step 5: Solve for x
    x = 1,561,220.67/1,398.72
  6. Step 6: Final answer
    x = 1,116.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.