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Finding the Fourth Proportional to 968.24, 1,452.02 and 383.22

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Solution

The fourth proportional to 968.24, 1,452.02 and 383.22 is: 574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.24 : 1,452.02 = 383.22 : x
  2. Step 2: Convert to fraction form
    968.24/1,452.02 = 383.22/x
  3. Step 3: Cross multiply
    968.24x = 1,452.02 × 383.22
  4. Step 4: Simplify right side
    968.24x = 556,441.19
  5. Step 5: Solve for x
    x = 556,441.19/968.24
  6. Step 6: Final answer
    x = 574.70

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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.