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Finding the Fourth Proportional to 1,775.85, 2,662.51 and 679.29

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Solution

The fourth proportional to 1,775.85, 2,662.51 and 679.29 is: 1,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.85 : 2,662.51 = 679.29 : x
  2. Step 2: Convert to fraction form
    1,775.85/2,662.51 = 679.29/x
  3. Step 3: Cross multiply
    1,775.85x = 2,662.51 × 679.29
  4. Step 4: Simplify right side
    1,775.85x = 1,808,616.42
  5. Step 5: Solve for x
    x = 1,808,616.42/1,775.85
  6. Step 6: Final answer
    x = 1,018.45

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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.