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Finding the Fourth Proportional to 1,408.65, 2,111.82 and 587.53

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Solution

The fourth proportional to 1,408.65, 2,111.82 and 587.53 is: 880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.65 : 2,111.82 = 587.53 : x
  2. Step 2: Convert to fraction form
    1,408.65/2,111.82 = 587.53/x
  3. Step 3: Cross multiply
    1,408.65x = 2,111.82 × 587.53
  4. Step 4: Simplify right side
    1,408.65x = 1,240,757.60
  5. Step 5: Solve for x
    x = 1,240,757.60/1,408.65
  6. Step 6: Final answer
    x = 880.81

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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.