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Finding the Fourth Proportional to 1,506.37, 2,259.56 and 989.65

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Solution

The fourth proportional to 1,506.37, 2,259.56 and 989.65 is: 1,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.37 : 2,259.56 = 989.65 : x
  2. Step 2: Convert to fraction form
    1,506.37/2,259.56 = 989.65/x
  3. Step 3: Cross multiply
    1,506.37x = 2,259.56 × 989.65
  4. Step 4: Simplify right side
    1,506.37x = 2,236,157.31
  5. Step 5: Solve for x
    x = 2,236,157.31/1,506.37
  6. Step 6: Final answer
    x = 1,484.47

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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.