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Finding the Fourth Proportional to 1,190.29, 1,785.28 and 368.49

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Solution

The fourth proportional to 1,190.29, 1,785.28 and 368.49 is: 552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.29 : 1,785.28 = 368.49 : x
  2. Step 2: Convert to fraction form
    1,190.29/1,785.28 = 368.49/x
  3. Step 3: Cross multiply
    1,190.29x = 1,785.28 × 368.49
  4. Step 4: Simplify right side
    1,190.29x = 657,857.83
  5. Step 5: Solve for x
    x = 657,857.83/1,190.29
  6. Step 6: Final answer
    x = 552.69

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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.