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Finding the Fourth Proportional to 805.64, 1,111.71 and 474.01

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Solution

The fourth proportional to 805.64, 1,111.71 and 474.01 is: 654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.64 : 1,111.71 = 474.01 : x
  2. Step 2: Convert to fraction form
    805.64/1,111.71 = 474.01/x
  3. Step 3: Cross multiply
    805.64x = 1,111.71 × 474.01
  4. Step 4: Simplify right side
    805.64x = 526,958.88
  5. Step 5: Solve for x
    x = 526,958.88/805.64
  6. Step 6: Final answer
    x = 654.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.