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Finding the Fourth Proportional to 969.06, 1,452.06 and 578.10

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Solution

The fourth proportional to 969.06, 1,452.06 and 578.10 is: 866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.06 : 1,452.06 = 578.10 : x
  2. Step 2: Convert to fraction form
    969.06/1,452.06 = 578.10/x
  3. Step 3: Cross multiply
    969.06x = 1,452.06 × 578.10
  4. Step 4: Simplify right side
    969.06x = 839,435.89
  5. Step 5: Solve for x
    x = 839,435.89/969.06
  6. Step 6: Final answer
    x = 866.24

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Why These Related Problems?

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