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Finding the Fourth Proportional to 1,119.26, 1,679.18 and 657.45

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Solution

The fourth proportional to 1,119.26, 1,679.18 and 657.45 is: 986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.26 : 1,679.18 = 657.45 : x
  2. Step 2: Convert to fraction form
    1,119.26/1,679.18 = 657.45/x
  3. Step 3: Cross multiply
    1,119.26x = 1,679.18 × 657.45
  4. Step 4: Simplify right side
    1,119.26x = 1,103,973.60
  5. Step 5: Solve for x
    x = 1,103,973.60/1,119.26
  6. Step 6: Final answer
    x = 986.34

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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.