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Finding the Fourth Proportional to 1,204.54, 1,807.64 and 474.12

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Solution

The fourth proportional to 1,204.54, 1,807.64 and 474.12 is: 711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.54 : 1,807.64 = 474.12 : x
  2. Step 2: Convert to fraction form
    1,204.54/1,807.64 = 474.12/x
  3. Step 3: Cross multiply
    1,204.54x = 1,807.64 × 474.12
  4. Step 4: Simplify right side
    1,204.54x = 857,038.28
  5. Step 5: Solve for x
    x = 857,038.28/1,204.54
  6. Step 6: Final answer
    x = 711.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.