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Finding the Fourth Proportional to 1,392.22, 2,088.42 and 467.74

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Solution

The fourth proportional to 1,392.22, 2,088.42 and 467.74 is: 701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.22 : 2,088.42 = 467.74 : x
  2. Step 2: Convert to fraction form
    1,392.22/2,088.42 = 467.74/x
  3. Step 3: Cross multiply
    1,392.22x = 2,088.42 × 467.74
  4. Step 4: Simplify right side
    1,392.22x = 976,837.57
  5. Step 5: Solve for x
    x = 976,837.57/1,392.22
  6. Step 6: Final answer
    x = 701.64

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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.