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Finding the Fourth Proportional to 1,091.64, 1,637.60 and 442.34

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Solution

The fourth proportional to 1,091.64, 1,637.60 and 442.34 is: 663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.64 : 1,637.60 = 442.34 : x
  2. Step 2: Convert to fraction form
    1,091.64/1,637.60 = 442.34/x
  3. Step 3: Cross multiply
    1,091.64x = 1,637.60 × 442.34
  4. Step 4: Simplify right side
    1,091.64x = 724,375.98
  5. Step 5: Solve for x
    x = 724,375.98/1,091.64
  6. Step 6: Final answer
    x = 663.57

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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.