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Finding the Fourth Proportional to 1,088.02, 1,500.43 and 791.23

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Solution

The fourth proportional to 1,088.02, 1,500.43 and 791.23 is: 1,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.02 : 1,500.43 = 791.23 : x
  2. Step 2: Convert to fraction form
    1,088.02/1,500.43 = 791.23/x
  3. Step 3: Cross multiply
    1,088.02x = 1,500.43 × 791.23
  4. Step 4: Simplify right side
    1,088.02x = 1,187,185.23
  5. Step 5: Solve for x
    x = 1,187,185.23/1,088.02
  6. Step 6: Final answer
    x = 1,091.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.