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Finding the Fourth Proportional to 972.86, 1,459.48 and 323.64

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Solution

The fourth proportional to 972.86, 1,459.48 and 323.64 is: 485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.86 : 1,459.48 = 323.64 : x
  2. Step 2: Convert to fraction form
    972.86/1,459.48 = 323.64/x
  3. Step 3: Cross multiply
    972.86x = 1,459.48 × 323.64
  4. Step 4: Simplify right side
    972.86x = 472,346.11
  5. Step 5: Solve for x
    x = 472,346.11/972.86
  6. Step 6: Final answer
    x = 485.52

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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.