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Finding the Fourth Proportional to 1,091.80, 1,638.11 and 507.09

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Solution

The fourth proportional to 1,091.80, 1,638.11 and 507.09 is: 760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.80 : 1,638.11 = 507.09 : x
  2. Step 2: Convert to fraction form
    1,091.80/1,638.11 = 507.09/x
  3. Step 3: Cross multiply
    1,091.80x = 1,638.11 × 507.09
  4. Step 4: Simplify right side
    1,091.80x = 830,669.20
  5. Step 5: Solve for x
    x = 830,669.20/1,091.80
  6. Step 6: Final answer
    x = 760.83

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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.