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Finding the Fourth Proportional to 1,092.08, 1,638.72 and 467.32

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Solution

The fourth proportional to 1,092.08, 1,638.72 and 467.32 is: 701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.08 : 1,638.72 = 467.32 : x
  2. Step 2: Convert to fraction form
    1,092.08/1,638.72 = 467.32/x
  3. Step 3: Cross multiply
    1,092.08x = 1,638.72 × 467.32
  4. Step 4: Simplify right side
    1,092.08x = 765,806.63
  5. Step 5: Solve for x
    x = 765,806.63/1,092.08
  6. Step 6: Final answer
    x = 701.24

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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.