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Finding the Fourth Proportional to 790.77, 1,186.25 and 303.75

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Solution

The fourth proportional to 790.77, 1,186.25 and 303.75 is: 455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.77 : 1,186.25 = 303.75 : x
  2. Step 2: Convert to fraction form
    790.77/1,186.25 = 303.75/x
  3. Step 3: Cross multiply
    790.77x = 1,186.25 × 303.75
  4. Step 4: Simplify right side
    790.77x = 360,328.08
  5. Step 5: Solve for x
    x = 360,328.08/790.77
  6. Step 6: Final answer
    x = 455.67

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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.