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Finding the Fourth Proportional to 969.42, 1,452.71 and 603.09

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Solution

The fourth proportional to 969.42, 1,452.71 and 603.09 is: 903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.42 : 1,452.71 = 603.09 : x
  2. Step 2: Convert to fraction form
    969.42/1,452.71 = 603.09/x
  3. Step 3: Cross multiply
    969.42x = 1,452.71 × 603.09
  4. Step 4: Simplify right side
    969.42x = 876,111.86
  5. Step 5: Solve for x
    x = 876,111.86/969.42
  6. Step 6: Final answer
    x = 903.75

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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.