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Finding the Fourth Proportional to 969.89, 1,451.24 and 580.10

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Solution

The fourth proportional to 969.89, 1,451.24 and 580.10 is: 868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.89 : 1,451.24 = 580.10 : x
  2. Step 2: Convert to fraction form
    969.89/1,451.24 = 580.10/x
  3. Step 3: Cross multiply
    969.89x = 1,451.24 × 580.10
  4. Step 4: Simplify right side
    969.89x = 841,864.32
  5. Step 5: Solve for x
    x = 841,864.32/969.89
  6. Step 6: Final answer
    x = 868.00

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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.