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Finding the Fourth Proportional to 953.49, 1,315.83 and 580.41

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Solution

The fourth proportional to 953.49, 1,315.83 and 580.41 is: 800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.49 : 1,315.83 = 580.41 : x
  2. Step 2: Convert to fraction form
    953.49/1,315.83 = 580.41/x
  3. Step 3: Cross multiply
    953.49x = 1,315.83 × 580.41
  4. Step 4: Simplify right side
    953.49x = 763,720.89
  5. Step 5: Solve for x
    x = 763,720.89/953.49
  6. Step 6: Final answer
    x = 800.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.