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Finding the Fourth Proportional to 790.66, 1,185.07 and 425.35

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Solution

The fourth proportional to 790.66, 1,185.07 and 425.35 is: 637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.66 : 1,185.07 = 425.35 : x
  2. Step 2: Convert to fraction form
    790.66/1,185.07 = 425.35/x
  3. Step 3: Cross multiply
    790.66x = 1,185.07 × 425.35
  4. Step 4: Simplify right side
    790.66x = 504,063.60
  5. Step 5: Solve for x
    x = 504,063.60/790.66
  6. Step 6: Final answer
    x = 637.53

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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.