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Finding the Fourth Proportional to 1,356.77, 2,035.22 and 432.39

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Solution

The fourth proportional to 1,356.77, 2,035.22 and 432.39 is: 648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.77 : 2,035.22 = 432.39 : x
  2. Step 2: Convert to fraction form
    1,356.77/2,035.22 = 432.39/x
  3. Step 3: Cross multiply
    1,356.77x = 2,035.22 × 432.39
  4. Step 4: Simplify right side
    1,356.77x = 880,006.61
  5. Step 5: Solve for x
    x = 880,006.61/1,356.77
  6. Step 6: Final answer
    x = 648.61

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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.