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Finding the Fourth Proportional to 1,184.63, 1,776.89 and 362.90

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Solution

The fourth proportional to 1,184.63, 1,776.89 and 362.90 is: 544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.63 : 1,776.89 = 362.90 : x
  2. Step 2: Convert to fraction form
    1,184.63/1,776.89 = 362.90/x
  3. Step 3: Cross multiply
    1,184.63x = 1,776.89 × 362.90
  4. Step 4: Simplify right side
    1,184.63x = 644,822.68
  5. Step 5: Solve for x
    x = 644,822.68/1,184.63
  6. Step 6: Final answer
    x = 544.33

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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.