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Finding the Fourth Proportional to 670.86, 1,006.80 and 300.78

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Solution

The fourth proportional to 670.86, 1,006.80 and 300.78 is: 451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.86 : 1,006.80 = 300.78 : x
  2. Step 2: Convert to fraction form
    670.86/1,006.80 = 300.78/x
  3. Step 3: Cross multiply
    670.86x = 1,006.80 × 300.78
  4. Step 4: Simplify right side
    670.86x = 302,825.30
  5. Step 5: Solve for x
    x = 302,825.30/670.86
  6. Step 6: Final answer
    x = 451.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.