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Finding the Fourth Proportional to 790.01, 1,185.85 and 443.64

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Solution

The fourth proportional to 790.01, 1,185.85 and 443.64 is: 665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.01 : 1,185.85 = 443.64 : x
  2. Step 2: Convert to fraction form
    790.01/1,185.85 = 443.64/x
  3. Step 3: Cross multiply
    790.01x = 1,185.85 × 443.64
  4. Step 4: Simplify right side
    790.01x = 526,090.49
  5. Step 5: Solve for x
    x = 526,090.49/790.01
  6. Step 6: Final answer
    x = 665.93

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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.