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Finding the Fourth Proportional to 1,408.38, 2,112.77 and 434.35

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Solution

The fourth proportional to 1,408.38, 2,112.77 and 434.35 is: 651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.38 : 2,112.77 = 434.35 : x
  2. Step 2: Convert to fraction form
    1,408.38/2,112.77 = 434.35/x
  3. Step 3: Cross multiply
    1,408.38x = 2,112.77 × 434.35
  4. Step 4: Simplify right side
    1,408.38x = 917,681.65
  5. Step 5: Solve for x
    x = 917,681.65/1,408.38
  6. Step 6: Final answer
    x = 651.59

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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.