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Finding the Fourth Proportional to 1,408.11, 2,112.96 and 586.16

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Solution

The fourth proportional to 1,408.11, 2,112.96 and 586.16 is: 879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.11 : 2,112.96 = 586.16 : x
  2. Step 2: Convert to fraction form
    1,408.11/2,112.96 = 586.16/x
  3. Step 3: Cross multiply
    1,408.11x = 2,112.96 × 586.16
  4. Step 4: Simplify right side
    1,408.11x = 1,238,536.48
  5. Step 5: Solve for x
    x = 1,238,536.48/1,408.11
  6. Step 6: Final answer
    x = 879.57

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1.5x scale

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.