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Finding the Fourth Proportional to 654.60, 982.08 and 469.74

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Solution

The fourth proportional to 654.60, 982.08 and 469.74 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 982.08 = 469.74 : x
  2. Step 2: Convert to fraction form
    654.60/982.08 = 469.74/x
  3. Step 3: Cross multiply
    654.60x = 982.08 × 469.74
  4. Step 4: Simplify right side
    654.60x = 461,322.26
  5. Step 5: Solve for x
    x = 461,322.26/654.60
  6. Step 6: Final answer
    x = 704.74

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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.