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Finding the Fourth Proportional to 913.91, 1,269.69 and 902.97

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Solution

The fourth proportional to 913.91, 1,269.69 and 902.97 is: 1,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.91 : 1,269.69 = 902.97 : x
  2. Step 2: Convert to fraction form
    913.91/1,269.69 = 902.97/x
  3. Step 3: Cross multiply
    913.91x = 1,269.69 × 902.97
  4. Step 4: Simplify right side
    913.91x = 1,146,491.98
  5. Step 5: Solve for x
    x = 1,146,491.98/913.91
  6. Step 6: Final answer
    x = 1,254.50

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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.