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Finding the Fourth Proportional to 1,184.55, 1,776.90 and 363.39

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Solution

The fourth proportional to 1,184.55, 1,776.90 and 363.39 is: 545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.55 : 1,776.90 = 363.39 : x
  2. Step 2: Convert to fraction form
    1,184.55/1,776.90 = 363.39/x
  3. Step 3: Cross multiply
    1,184.55x = 1,776.90 × 363.39
  4. Step 4: Simplify right side
    1,184.55x = 645,717.38
  5. Step 5: Solve for x
    x = 645,717.38/1,184.55
  6. Step 6: Final answer
    x = 545.12

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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.