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Finding the Fourth Proportional to 1,190.97, 1,785.95 and 410.77

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Solution

The fourth proportional to 1,190.97, 1,785.95 and 410.77 is: 615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.97 : 1,785.95 = 410.77 : x
  2. Step 2: Convert to fraction form
    1,190.97/1,785.95 = 410.77/x
  3. Step 3: Cross multiply
    1,190.97x = 1,785.95 × 410.77
  4. Step 4: Simplify right side
    1,190.97x = 733,616.40
  5. Step 5: Solve for x
    x = 733,616.40/1,190.97
  6. Step 6: Final answer
    x = 615.98

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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.