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Finding the Fourth Proportional to 1,780.95, 2,671.16 and 464.73

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Solution

The fourth proportional to 1,780.95, 2,671.16 and 464.73 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.95 : 2,671.16 = 464.73 : x
  2. Step 2: Convert to fraction form
    1,780.95/2,671.16 = 464.73/x
  3. Step 3: Cross multiply
    1,780.95x = 2,671.16 × 464.73
  4. Step 4: Simplify right side
    1,780.95x = 1,241,355.85
  5. Step 5: Solve for x
    x = 1,241,355.85/1,780.95
  6. Step 6: Final answer
    x = 697.02

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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.