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Finding the Fourth Proportional to 949.60, 1,421.84 and 492.64

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Solution

The fourth proportional to 949.60, 1,421.84 and 492.64 is: 737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.60 : 1,421.84 = 492.64 : x
  2. Step 2: Convert to fraction form
    949.60/1,421.84 = 492.64/x
  3. Step 3: Cross multiply
    949.60x = 1,421.84 × 492.64
  4. Step 4: Simplify right side
    949.60x = 700,455.26
  5. Step 5: Solve for x
    x = 700,455.26/949.60
  6. Step 6: Final answer
    x = 737.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.