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Finding the Fourth Proportional to 790.31, 1,185.57 and 424.60

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Solution

The fourth proportional to 790.31, 1,185.57 and 424.60 is: 636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.31 : 1,185.57 = 424.60 : x
  2. Step 2: Convert to fraction form
    790.31/1,185.57 = 424.60/x
  3. Step 3: Cross multiply
    790.31x = 1,185.57 × 424.60
  4. Step 4: Simplify right side
    790.31x = 503,393.02
  5. Step 5: Solve for x
    x = 503,393.02/790.31
  6. Step 6: Final answer
    x = 636.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.