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Finding the Fourth Proportional to 953.74, 1,316.26 and 580.82

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Solution

The fourth proportional to 953.74, 1,316.26 and 580.82 is: 801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.74 : 1,316.26 = 580.82 : x
  2. Step 2: Convert to fraction form
    953.74/1,316.26 = 580.82/x
  3. Step 3: Cross multiply
    953.74x = 1,316.26 × 580.82
  4. Step 4: Simplify right side
    953.74x = 764,510.13
  5. Step 5: Solve for x
    x = 764,510.13/953.74
  6. Step 6: Final answer
    x = 801.59

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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.