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Finding the Fourth Proportional to 913.38, 1,366.83 and 852.36

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Solution

The fourth proportional to 913.38, 1,366.83 and 852.36 is: 1,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.38 : 1,366.83 = 852.36 : x
  2. Step 2: Convert to fraction form
    913.38/1,366.83 = 852.36/x
  3. Step 3: Cross multiply
    913.38x = 1,366.83 × 852.36
  4. Step 4: Simplify right side
    913.38x = 1,165,031.22
  5. Step 5: Solve for x
    x = 1,165,031.22/913.38
  6. Step 6: Final answer
    x = 1,275.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.