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Finding the Fourth Proportional to 1,389.63, 2,085.47 and 659.20

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Solution

The fourth proportional to 1,389.63, 2,085.47 and 659.20 is: 989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.63 : 2,085.47 = 659.20 : x
  2. Step 2: Convert to fraction form
    1,389.63/2,085.47 = 659.20/x
  3. Step 3: Cross multiply
    1,389.63x = 2,085.47 × 659.20
  4. Step 4: Simplify right side
    1,389.63x = 1,374,738.53
  5. Step 5: Solve for x
    x = 1,374,738.53/1,389.63
  6. Step 6: Final answer
    x = 989.29

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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.