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Finding the Fourth Proportional to 1,233.58, 1,701.11 and 790.71

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Solution

The fourth proportional to 1,233.58, 1,701.11 and 790.71 is: 1,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.58 : 1,701.11 = 790.71 : x
  2. Step 2: Convert to fraction form
    1,233.58/1,701.11 = 790.71/x
  3. Step 3: Cross multiply
    1,233.58x = 1,701.11 × 790.71
  4. Step 4: Simplify right side
    1,233.58x = 1,345,086.66
  5. Step 5: Solve for x
    x = 1,345,086.66/1,233.58
  6. Step 6: Final answer
    x = 1,090.39

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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.