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Finding the Fourth Proportional to 947.37, 1,308.20 and 916.38

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Solution

The fourth proportional to 947.37, 1,308.20 and 916.38 is: 1,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.37 : 1,308.20 = 916.38 : x
  2. Step 2: Convert to fraction form
    947.37/1,308.20 = 916.38/x
  3. Step 3: Cross multiply
    947.37x = 1,308.20 × 916.38
  4. Step 4: Simplify right side
    947.37x = 1,198,803.73
  5. Step 5: Solve for x
    x = 1,198,803.73/947.37
  6. Step 6: Final answer
    x = 1,265.40

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Half scale
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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.