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Finding the Fourth Proportional to 1,765.05, 2,647.71 and 466.50

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Solution

The fourth proportional to 1,765.05, 2,647.71 and 466.50 is: 699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.05 : 2,647.71 = 466.50 : x
  2. Step 2: Convert to fraction form
    1,765.05/2,647.71 = 466.50/x
  3. Step 3: Cross multiply
    1,765.05x = 2,647.71 × 466.50
  4. Step 4: Simplify right side
    1,765.05x = 1,235,156.72
  5. Step 5: Solve for x
    x = 1,235,156.72/1,765.05
  6. Step 6: Final answer
    x = 699.79

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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.