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Finding the Fourth Proportional to 1,809.72, 2,714.34 and 770.67

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Solution

The fourth proportional to 1,809.72, 2,714.34 and 770.67 is: 1,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.72 : 2,714.34 = 770.67 : x
  2. Step 2: Convert to fraction form
    1,809.72/2,714.34 = 770.67/x
  3. Step 3: Cross multiply
    1,809.72x = 2,714.34 × 770.67
  4. Step 4: Simplify right side
    1,809.72x = 2,091,860.41
  5. Step 5: Solve for x
    x = 2,091,860.41/1,809.72
  6. Step 6: Final answer
    x = 1,155.90

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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.