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Finding the Fourth Proportional to 1,369.42, 2,054.61 and 589.09

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Solution

The fourth proportional to 1,369.42, 2,054.61 and 589.09 is: 883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.42 : 2,054.61 = 589.09 : x
  2. Step 2: Convert to fraction form
    1,369.42/2,054.61 = 589.09/x
  3. Step 3: Cross multiply
    1,369.42x = 2,054.61 × 589.09
  4. Step 4: Simplify right side
    1,369.42x = 1,210,350.20
  5. Step 5: Solve for x
    x = 1,210,350.20/1,369.42
  6. Step 6: Final answer
    x = 883.84

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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.