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Finding the Fourth Proportional to 1,356.13, 2,034.17 and 431.67

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Solution

The fourth proportional to 1,356.13, 2,034.17 and 431.67 is: 647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.13 : 2,034.17 = 431.67 : x
  2. Step 2: Convert to fraction form
    1,356.13/2,034.17 = 431.67/x
  3. Step 3: Cross multiply
    1,356.13x = 2,034.17 × 431.67
  4. Step 4: Simplify right side
    1,356.13x = 878,099.68
  5. Step 5: Solve for x
    x = 878,099.68/1,356.13
  6. Step 6: Final answer
    x = 647.50

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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.