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Finding the Fourth Proportional to 969.48, 1,454.22 and 559.08

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Solution

The fourth proportional to 969.48, 1,454.22 and 559.08 is: 838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.48 : 1,454.22 = 559.08 : x
  2. Step 2: Convert to fraction form
    969.48/1,454.22 = 559.08/x
  3. Step 3: Cross multiply
    969.48x = 1,454.22 × 559.08
  4. Step 4: Simplify right side
    969.48x = 813,025.32
  5. Step 5: Solve for x
    x = 813,025.32/969.48
  6. Step 6: Final answer
    x = 838.62

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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.