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Finding the Fourth Proportional to 804.88, 1,207.35 and 394.38

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Solution

The fourth proportional to 804.88, 1,207.35 and 394.38 is: 591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.88 : 1,207.35 = 394.38 : x
  2. Step 2: Convert to fraction form
    804.88/1,207.35 = 394.38/x
  3. Step 3: Cross multiply
    804.88x = 1,207.35 × 394.38
  4. Step 4: Simplify right side
    804.88x = 476,154.69
  5. Step 5: Solve for x
    x = 476,154.69/804.88
  6. Step 6: Final answer
    x = 591.58

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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.