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Finding the Fourth Proportional to 1,313.22, 1,811.70 and 789.27

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Solution

The fourth proportional to 1,313.22, 1,811.70 and 789.27 is: 1,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.22 : 1,811.70 = 789.27 : x
  2. Step 2: Convert to fraction form
    1,313.22/1,811.70 = 789.27/x
  3. Step 3: Cross multiply
    1,313.22x = 1,811.70 × 789.27
  4. Step 4: Simplify right side
    1,313.22x = 1,429,920.46
  5. Step 5: Solve for x
    x = 1,429,920.46/1,313.22
  6. Step 6: Final answer
    x = 1,088.87

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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.