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Finding the Fourth Proportional to 1,122.09, 1,683.36 and 659.63

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Solution

The fourth proportional to 1,122.09, 1,683.36 and 659.63 is: 989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.09 : 1,683.36 = 659.63 : x
  2. Step 2: Convert to fraction form
    1,122.09/1,683.36 = 659.63/x
  3. Step 3: Cross multiply
    1,122.09x = 1,683.36 × 659.63
  4. Step 4: Simplify right side
    1,122.09x = 1,110,394.76
  5. Step 5: Solve for x
    x = 1,110,394.76/1,122.09
  6. Step 6: Final answer
    x = 989.58

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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.