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Finding the Fourth Proportional to 842.16, 1,161.88 and 474.16

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Solution

The fourth proportional to 842.16, 1,161.88 and 474.16 is: 654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.16 : 1,161.88 = 474.16 : x
  2. Step 2: Convert to fraction form
    842.16/1,161.88 = 474.16/x
  3. Step 3: Cross multiply
    842.16x = 1,161.88 × 474.16
  4. Step 4: Simplify right side
    842.16x = 550,917.02
  5. Step 5: Solve for x
    x = 550,917.02/842.16
  6. Step 6: Final answer
    x = 654.17

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Why These Related Problems?

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