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Finding the Fourth Proportional to 790.41, 1,186.16 and 784.34

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Solution

The fourth proportional to 790.41, 1,186.16 and 784.34 is: 1,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.41 : 1,186.16 = 784.34 : x
  2. Step 2: Convert to fraction form
    790.41/1,186.16 = 784.34/x
  3. Step 3: Cross multiply
    790.41x = 1,186.16 × 784.34
  4. Step 4: Simplify right side
    790.41x = 930,342.88
  5. Step 5: Solve for x
    x = 930,342.88/790.41
  6. Step 6: Final answer
    x = 1,177.04

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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.