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Finding the Fourth Proportional to 969.71, 1,454.73 and 580.15

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Solution

The fourth proportional to 969.71, 1,454.73 and 580.15 is: 870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.71 : 1,454.73 = 580.15 : x
  2. Step 2: Convert to fraction form
    969.71/1,454.73 = 580.15/x
  3. Step 3: Cross multiply
    969.71x = 1,454.73 × 580.15
  4. Step 4: Simplify right side
    969.71x = 843,957.97
  5. Step 5: Solve for x
    x = 843,957.97/969.71
  6. Step 6: Final answer
    x = 870.32

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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.