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Finding the Fourth Proportional to 953.11, 1,313.85 and 842.41

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Solution

The fourth proportional to 953.11, 1,313.85 and 842.41 is: 1,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.11 : 1,313.85 = 842.41 : x
  2. Step 2: Convert to fraction form
    953.11/1,313.85 = 842.41/x
  3. Step 3: Cross multiply
    953.11x = 1,313.85 × 842.41
  4. Step 4: Simplify right side
    953.11x = 1,106,800.38
  5. Step 5: Solve for x
    x = 1,106,800.38/953.11
  6. Step 6: Final answer
    x = 1,161.25

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1.5x scale

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.