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Finding the Fourth Proportional to 947.87, 1,313.13 and 925.19

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Solution

The fourth proportional to 947.87, 1,313.13 and 925.19 is: 1,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.87 : 1,313.13 = 925.19 : x
  2. Step 2: Convert to fraction form
    947.87/1,313.13 = 925.19/x
  3. Step 3: Cross multiply
    947.87x = 1,313.13 × 925.19
  4. Step 4: Simplify right side
    947.87x = 1,214,890.12
  5. Step 5: Solve for x
    x = 1,214,890.12/947.87
  6. Step 6: Final answer
    x = 1,281.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.