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Finding the Fourth Proportional to 953.70, 1,313.06 and 835.54

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Solution

The fourth proportional to 953.70, 1,313.06 and 835.54 is: 1,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.70 : 1,313.06 = 835.54 : x
  2. Step 2: Convert to fraction form
    953.70/1,313.06 = 835.54/x
  3. Step 3: Cross multiply
    953.70x = 1,313.06 × 835.54
  4. Step 4: Simplify right side
    953.70x = 1,097,114.15
  5. Step 5: Solve for x
    x = 1,097,114.15/953.70
  6. Step 6: Final answer
    x = 1,150.38

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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.