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Finding the Fourth Proportional to 953.10, 1,315.67 and 580.20

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Solution

The fourth proportional to 953.10, 1,315.67 and 580.20 is: 800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.10 : 1,315.67 = 580.20 : x
  2. Step 2: Convert to fraction form
    953.10/1,315.67 = 580.20/x
  3. Step 3: Cross multiply
    953.10x = 1,315.67 × 580.20
  4. Step 4: Simplify right side
    953.10x = 763,351.73
  5. Step 5: Solve for x
    x = 763,351.73/953.10
  6. Step 6: Final answer
    x = 800.91

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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.