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Finding the Fourth Proportional to 1,392.91, 2,088.74 and 418.75

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Solution

The fourth proportional to 1,392.91, 2,088.74 and 418.75 is: 627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.91 : 2,088.74 = 418.75 : x
  2. Step 2: Convert to fraction form
    1,392.91/2,088.74 = 418.75/x
  3. Step 3: Cross multiply
    1,392.91x = 2,088.74 × 418.75
  4. Step 4: Simplify right side
    1,392.91x = 874,657.78
  5. Step 5: Solve for x
    x = 874,657.78/1,392.91
  6. Step 6: Final answer
    x = 627.94

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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.