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Finding the Fourth Proportional to 904.20, 1,353.10 and 827.40

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Solution

The fourth proportional to 904.20, 1,353.10 and 827.40 is: 1,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.20 : 1,353.10 = 827.40 : x
  2. Step 2: Convert to fraction form
    904.20/1,353.10 = 827.40/x
  3. Step 3: Cross multiply
    904.20x = 1,353.10 × 827.40
  4. Step 4: Simplify right side
    904.20x = 1,119,554.94
  5. Step 5: Solve for x
    x = 1,119,554.94/904.20
  6. Step 6: Final answer
    x = 1,238.17

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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.