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Finding the Fourth Proportional to 922.74, 1,265.23 and 895.41

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Solution

The fourth proportional to 922.74, 1,265.23 and 895.41 is: 1,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.74 : 1,265.23 = 895.41 : x
  2. Step 2: Convert to fraction form
    922.74/1,265.23 = 895.41/x
  3. Step 3: Cross multiply
    922.74x = 1,265.23 × 895.41
  4. Step 4: Simplify right side
    922.74x = 1,132,899.59
  5. Step 5: Solve for x
    x = 1,132,899.59/922.74
  6. Step 6: Final answer
    x = 1,227.76

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.