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Finding the Fourth Proportional to 1,069.60, 1,596.67 and 989.44

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Solution

The fourth proportional to 1,069.60, 1,596.67 and 989.44 is: 1,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.60 : 1,596.67 = 989.44 : x
  2. Step 2: Convert to fraction form
    1,069.60/1,596.67 = 989.44/x
  3. Step 3: Cross multiply
    1,069.60x = 1,596.67 × 989.44
  4. Step 4: Simplify right side
    1,069.60x = 1,579,809.16
  5. Step 5: Solve for x
    x = 1,579,809.16/1,069.60
  6. Step 6: Final answer
    x = 1,477.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.