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Finding the Fourth Proportional to 1,392.48, 2,088.68 and 418.32

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Solution

The fourth proportional to 1,392.48, 2,088.68 and 418.32 is: 627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.48 : 2,088.68 = 418.32 : x
  2. Step 2: Convert to fraction form
    1,392.48/2,088.68 = 418.32/x
  3. Step 3: Cross multiply
    1,392.48x = 2,088.68 × 418.32
  4. Step 4: Simplify right side
    1,392.48x = 873,734.53
  5. Step 5: Solve for x
    x = 873,734.53/1,392.48
  6. Step 6: Final answer
    x = 627.47

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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.