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Finding the Fourth Proportional to 1,184.55, 1,776.28 and 362.65

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Solution

The fourth proportional to 1,184.55, 1,776.28 and 362.65 is: 543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.55 : 1,776.28 = 362.65 : x
  2. Step 2: Convert to fraction form
    1,184.55/1,776.28 = 362.65/x
  3. Step 3: Cross multiply
    1,184.55x = 1,776.28 × 362.65
  4. Step 4: Simplify right side
    1,184.55x = 644,167.94
  5. Step 5: Solve for x
    x = 644,167.94/1,184.55
  6. Step 6: Final answer
    x = 543.81

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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.