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Finding the Fourth Proportional to 1,191.74, 1,785.63 and 411.33

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Solution

The fourth proportional to 1,191.74, 1,785.63 and 411.33 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.74 : 1,785.63 = 411.33 : x
  2. Step 2: Convert to fraction form
    1,191.74/1,785.63 = 411.33/x
  3. Step 3: Cross multiply
    1,191.74x = 1,785.63 × 411.33
  4. Step 4: Simplify right side
    1,191.74x = 734,483.19
  5. Step 5: Solve for x
    x = 734,483.19/1,191.74
  6. Step 6: Final answer
    x = 616.31

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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.