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Finding the Fourth Proportional to 1,411.80, 2,118.10 and 590.44

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Solution

The fourth proportional to 1,411.80, 2,118.10 and 590.44 is: 885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.80 : 2,118.10 = 590.44 : x
  2. Step 2: Convert to fraction form
    1,411.80/2,118.10 = 590.44/x
  3. Step 3: Cross multiply
    1,411.80x = 2,118.10 × 590.44
  4. Step 4: Simplify right side
    1,411.80x = 1,250,610.96
  5. Step 5: Solve for x
    x = 1,250,610.96/1,411.80
  6. Step 6: Final answer
    x = 885.83

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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.