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Finding the Fourth Proportional to 1,411.82, 2,118.56 and 590.03

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Solution

The fourth proportional to 1,411.82, 2,118.56 and 590.03 is: 885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.82 : 2,118.56 = 590.03 : x
  2. Step 2: Convert to fraction form
    1,411.82/2,118.56 = 590.03/x
  3. Step 3: Cross multiply
    1,411.82x = 2,118.56 × 590.03
  4. Step 4: Simplify right side
    1,411.82x = 1,250,011.68
  5. Step 5: Solve for x
    x = 1,250,011.68/1,411.82
  6. Step 6: Final answer
    x = 885.39

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