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Finding the Fourth Proportional to 1,408.65, 2,111.09 and 585.96

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Solution

The fourth proportional to 1,408.65, 2,111.09 and 585.96 is: 878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.65 : 2,111.09 = 585.96 : x
  2. Step 2: Convert to fraction form
    1,408.65/2,111.09 = 585.96/x
  3. Step 3: Cross multiply
    1,408.65x = 2,111.09 × 585.96
  4. Step 4: Simplify right side
    1,408.65x = 1,237,011.37
  5. Step 5: Solve for x
    x = 1,237,011.37/1,408.65
  6. Step 6: Final answer
    x = 878.15

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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.