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Finding the Fourth Proportional to 1,091.30, 1,637.00 and 475.04

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Solution

The fourth proportional to 1,091.30, 1,637.00 and 475.04 is: 712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.30 : 1,637.00 = 475.04 : x
  2. Step 2: Convert to fraction form
    1,091.30/1,637.00 = 475.04/x
  3. Step 3: Cross multiply
    1,091.30x = 1,637.00 × 475.04
  4. Step 4: Simplify right side
    1,091.30x = 777,643.98
  5. Step 5: Solve for x
    x = 777,643.98/1,091.30
  6. Step 6: Final answer
    x = 712.59

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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.