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Finding the Fourth Proportional to 1,190.41, 1,784.96 and 368.45

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Solution

The fourth proportional to 1,190.41, 1,784.96 and 368.45 is: 552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.41 : 1,784.96 = 368.45 : x
  2. Step 2: Convert to fraction form
    1,190.41/1,784.96 = 368.45/x
  3. Step 3: Cross multiply
    1,190.41x = 1,784.96 × 368.45
  4. Step 4: Simplify right side
    1,190.41x = 657,666.67
  5. Step 5: Solve for x
    x = 657,666.67/1,190.41
  6. Step 6: Final answer
    x = 552.47

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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.