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Finding the Fourth Proportional to 1,364.95, 2,047.41 and 391.05

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Solution

The fourth proportional to 1,364.95, 2,047.41 and 391.05 is: 586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.95 : 2,047.41 = 391.05 : x
  2. Step 2: Convert to fraction form
    1,364.95/2,047.41 = 391.05/x
  3. Step 3: Cross multiply
    1,364.95x = 2,047.41 × 391.05
  4. Step 4: Simplify right side
    1,364.95x = 800,639.68
  5. Step 5: Solve for x
    x = 800,639.68/1,364.95
  6. Step 6: Final answer
    x = 586.57

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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.