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Finding the Fourth Proportional to 842.04, 1,161.98 and 469.02

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Solution

The fourth proportional to 842.04, 1,161.98 and 469.02 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.04 : 1,161.98 = 469.02 : x
  2. Step 2: Convert to fraction form
    842.04/1,161.98 = 469.02/x
  3. Step 3: Cross multiply
    842.04x = 1,161.98 × 469.02
  4. Step 4: Simplify right side
    842.04x = 544,991.86
  5. Step 5: Solve for x
    x = 544,991.86/842.04
  6. Step 6: Final answer
    x = 647.23

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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.