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Finding the Fourth Proportional to 953.61, 1,316.09 and 580.81

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Solution

The fourth proportional to 953.61, 1,316.09 and 580.81 is: 801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.61 : 1,316.09 = 580.81 : x
  2. Step 2: Convert to fraction form
    953.61/1,316.09 = 580.81/x
  3. Step 3: Cross multiply
    953.61x = 1,316.09 × 580.81
  4. Step 4: Simplify right side
    953.61x = 764,391.65
  5. Step 5: Solve for x
    x = 764,391.65/953.61
  6. Step 6: Final answer
    x = 801.58

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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.