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Finding the Fourth Proportional to 774.06, 1,160.62 and 363.54

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Solution

The fourth proportional to 774.06, 1,160.62 and 363.54 is: 545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,160.62 = 363.54 : x
  2. Step 2: Convert to fraction form
    774.06/1,160.62 = 363.54/x
  3. Step 3: Cross multiply
    774.06x = 1,160.62 × 363.54
  4. Step 4: Simplify right side
    774.06x = 421,931.79
  5. Step 5: Solve for x
    x = 421,931.79/774.06
  6. Step 6: Final answer
    x = 545.09

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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.