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Finding the Fourth Proportional to 1,408.47, 2,112.71 and 434.34

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Solution

The fourth proportional to 1,408.47, 2,112.71 and 434.34 is: 651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.47 : 2,112.71 = 434.34 : x
  2. Step 2: Convert to fraction form
    1,408.47/2,112.71 = 434.34/x
  3. Step 3: Cross multiply
    1,408.47x = 2,112.71 × 434.34
  4. Step 4: Simplify right side
    1,408.47x = 917,632.29
  5. Step 5: Solve for x
    x = 917,632.29/1,408.47
  6. Step 6: Final answer
    x = 651.51

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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.