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Finding the Fourth Proportional to 969.52, 1,454.35 and 582.16

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Solution

The fourth proportional to 969.52, 1,454.35 and 582.16 is: 873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.52 : 1,454.35 = 582.16 : x
  2. Step 2: Convert to fraction form
    969.52/1,454.35 = 582.16/x
  3. Step 3: Cross multiply
    969.52x = 1,454.35 × 582.16
  4. Step 4: Simplify right side
    969.52x = 846,664.40
  5. Step 5: Solve for x
    x = 846,664.40/969.52
  6. Step 6: Final answer
    x = 873.28

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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.