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Finding the Fourth Proportional to 790.80, 1,091.54 and 736.14

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Solution

The fourth proportional to 790.80, 1,091.54 and 736.14 is: 1,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.80 : 1,091.54 = 736.14 : x
  2. Step 2: Convert to fraction form
    790.80/1,091.54 = 736.14/x
  3. Step 3: Cross multiply
    790.80x = 1,091.54 × 736.14
  4. Step 4: Simplify right side
    790.80x = 803,526.26
  5. Step 5: Solve for x
    x = 803,526.26/790.80
  6. Step 6: Final answer
    x = 1,016.09

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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.