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Finding the Fourth Proportional to 968.53, 1,452.58 and 474.94

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Solution

The fourth proportional to 968.53, 1,452.58 and 474.94 is: 712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.53 : 1,452.58 = 474.94 : x
  2. Step 2: Convert to fraction form
    968.53/1,452.58 = 474.94/x
  3. Step 3: Cross multiply
    968.53x = 1,452.58 × 474.94
  4. Step 4: Simplify right side
    968.53x = 689,888.35
  5. Step 5: Solve for x
    x = 689,888.35/968.53
  6. Step 6: Final answer
    x = 712.30

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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.