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Finding the Fourth Proportional to 1,204.72, 1,807.15 and 474.35

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Solution

The fourth proportional to 1,204.72, 1,807.15 and 474.35 is: 711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.72 : 1,807.15 = 474.35 : x
  2. Step 2: Convert to fraction form
    1,204.72/1,807.15 = 474.35/x
  3. Step 3: Cross multiply
    1,204.72x = 1,807.15 × 474.35
  4. Step 4: Simplify right side
    1,204.72x = 857,221.60
  5. Step 5: Solve for x
    x = 857,221.60/1,204.72
  6. Step 6: Final answer
    x = 711.56

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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.