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Finding the Fourth Proportional to 830.30, 1,212.67 and 830.30

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Solution

The fourth proportional to 830.30, 1,212.67 and 830.30 is: 1,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.30 : 1,212.67 = 830.30 : x
  2. Step 2: Convert to fraction form
    830.30/1,212.67 = 830.30/x
  3. Step 3: Cross multiply
    830.30x = 1,212.67 × 830.30
  4. Step 4: Simplify right side
    830.30x = 1,006,879.90
  5. Step 5: Solve for x
    x = 1,006,879.90/830.30
  6. Step 6: Final answer
    x = 1,212.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.