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Finding the Fourth Proportional to 790.58, 1,185.60 and 235.14

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Solution

The fourth proportional to 790.58, 1,185.60 and 235.14 is: 352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.58 : 1,185.60 = 235.14 : x
  2. Step 2: Convert to fraction form
    790.58/1,185.60 = 235.14/x
  3. Step 3: Cross multiply
    790.58x = 1,185.60 × 235.14
  4. Step 4: Simplify right side
    790.58x = 278,781.98
  5. Step 5: Solve for x
    x = 278,781.98/790.58
  6. Step 6: Final answer
    x = 352.63

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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.