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Finding the Fourth Proportional to 1,392.50, 2,088.81 and 418.61

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Solution

The fourth proportional to 1,392.50, 2,088.81 and 418.61 is: 627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.50 : 2,088.81 = 418.61 : x
  2. Step 2: Convert to fraction form
    1,392.50/2,088.81 = 418.61/x
  3. Step 3: Cross multiply
    1,392.50x = 2,088.81 × 418.61
  4. Step 4: Simplify right side
    1,392.50x = 874,388.47
  5. Step 5: Solve for x
    x = 874,388.47/1,392.50
  6. Step 6: Final answer
    x = 627.93

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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.