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Finding the Fourth Proportional to 1,775.40, 2,662.94 and 679.08

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Solution

The fourth proportional to 1,775.40, 2,662.94 and 679.08 is: 1,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.40 : 2,662.94 = 679.08 : x
  2. Step 2: Convert to fraction form
    1,775.40/2,662.94 = 679.08/x
  3. Step 3: Cross multiply
    1,775.40x = 2,662.94 × 679.08
  4. Step 4: Simplify right side
    1,775.40x = 1,808,349.30
  5. Step 5: Solve for x
    x = 1,808,349.30/1,775.40
  6. Step 6: Final answer
    x = 1,018.56

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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.