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Finding the Fourth Proportional to 774.26, 1,160.66 and 384.02

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Solution

The fourth proportional to 774.26, 1,160.66 and 384.02 is: 575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.26 : 1,160.66 = 384.02 : x
  2. Step 2: Convert to fraction form
    774.26/1,160.66 = 384.02/x
  3. Step 3: Cross multiply
    774.26x = 1,160.66 × 384.02
  4. Step 4: Simplify right side
    774.26x = 445,711.81
  5. Step 5: Solve for x
    x = 445,711.81/774.26
  6. Step 6: Final answer
    x = 575.67

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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.