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Finding the Fourth Proportional to 1,392.94, 2,088.92 and 405.49

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Solution

The fourth proportional to 1,392.94, 2,088.92 and 405.49 is: 608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.94 : 2,088.92 = 405.49 : x
  2. Step 2: Convert to fraction form
    1,392.94/2,088.92 = 405.49/x
  3. Step 3: Cross multiply
    1,392.94x = 2,088.92 × 405.49
  4. Step 4: Simplify right side
    1,392.94x = 847,028.05
  5. Step 5: Solve for x
    x = 847,028.05/1,392.94
  6. Step 6: Final answer
    x = 608.09

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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.