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Finding the Fourth Proportional to 920.00, 1,376.87 and 766.19

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Solution

The fourth proportional to 920.00, 1,376.87 and 766.19 is: 1,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.00 : 1,376.87 = 766.19 : x
  2. Step 2: Convert to fraction form
    920.00/1,376.87 = 766.19/x
  3. Step 3: Cross multiply
    920.00x = 1,376.87 × 766.19
  4. Step 4: Simplify right side
    920.00x = 1,054,933.31
  5. Step 5: Solve for x
    x = 1,054,933.31/920.00
  6. Step 6: Final answer
    x = 1,146.67

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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.