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Finding the Fourth Proportional to 982.64, 1,473.80 and 324.53

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Solution

The fourth proportional to 982.64, 1,473.80 and 324.53 is: 486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.64 : 1,473.80 = 324.53 : x
  2. Step 2: Convert to fraction form
    982.64/1,473.80 = 324.53/x
  3. Step 3: Cross multiply
    982.64x = 1,473.80 × 324.53
  4. Step 4: Simplify right side
    982.64x = 478,283.32
  5. Step 5: Solve for x
    x = 478,283.32/982.64
  6. Step 6: Final answer
    x = 486.74

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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.