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Finding the Fourth Proportional to 1,809.88, 2,714.31 and 699.04

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Solution

The fourth proportional to 1,809.88, 2,714.31 and 699.04 is: 1,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.88 : 2,714.31 = 699.04 : x
  2. Step 2: Convert to fraction form
    1,809.88/2,714.31 = 699.04/x
  3. Step 3: Cross multiply
    1,809.88x = 2,714.31 × 699.04
  4. Step 4: Simplify right side
    1,809.88x = 1,897,411.26
  5. Step 5: Solve for x
    x = 1,897,411.26/1,809.88
  6. Step 6: Final answer
    x = 1,048.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.