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Finding the Fourth Proportional to 1,356.08, 2,034.02 and 431.69

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Solution

The fourth proportional to 1,356.08, 2,034.02 and 431.69 is: 647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.08 : 2,034.02 = 431.69 : x
  2. Step 2: Convert to fraction form
    1,356.08/2,034.02 = 431.69/x
  3. Step 3: Cross multiply
    1,356.08x = 2,034.02 × 431.69
  4. Step 4: Simplify right side
    1,356.08x = 878,063.94
  5. Step 5: Solve for x
    x = 878,063.94/1,356.08
  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.