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Finding the Fourth Proportional to 953.22, 1,315.50 and 580.14

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Solution

The fourth proportional to 953.22, 1,315.50 and 580.14 is: 800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.22 : 1,315.50 = 580.14 : x
  2. Step 2: Convert to fraction form
    953.22/1,315.50 = 580.14/x
  3. Step 3: Cross multiply
    953.22x = 1,315.50 × 580.14
  4. Step 4: Simplify right side
    953.22x = 763,174.17
  5. Step 5: Solve for x
    x = 763,174.17/953.22
  6. Step 6: Final answer
    x = 800.63

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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.