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Finding the Fourth Proportional to 1,184.90, 1,776.83 and 362.97

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Solution

The fourth proportional to 1,184.90, 1,776.83 and 362.97 is: 544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.90 : 1,776.83 = 362.97 : x
  2. Step 2: Convert to fraction form
    1,184.90/1,776.83 = 362.97/x
  3. Step 3: Cross multiply
    1,184.90x = 1,776.83 × 362.97
  4. Step 4: Simplify right side
    1,184.90x = 644,934.17
  5. Step 5: Solve for x
    x = 644,934.17/1,184.90
  6. Step 6: Final answer
    x = 544.30

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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.