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Finding the Fourth Proportional to 982.86, 1,473.45 and 469.50

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Solution

The fourth proportional to 982.86, 1,473.45 and 469.50 is: 703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.86 : 1,473.45 = 469.50 : x
  2. Step 2: Convert to fraction form
    982.86/1,473.45 = 469.50/x
  3. Step 3: Cross multiply
    982.86x = 1,473.45 × 469.50
  4. Step 4: Simplify right side
    982.86x = 691,784.78
  5. Step 5: Solve for x
    x = 691,784.78/982.86
  6. Step 6: Final answer
    x = 703.85

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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.