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Finding the Fourth Proportional to 1,138.22, 1,705.80 and 589.25

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Solution

The fourth proportional to 1,138.22, 1,705.80 and 589.25 is: 883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.22 : 1,705.80 = 589.25 : x
  2. Step 2: Convert to fraction form
    1,138.22/1,705.80 = 589.25/x
  3. Step 3: Cross multiply
    1,138.22x = 1,705.80 × 589.25
  4. Step 4: Simplify right side
    1,138.22x = 1,005,142.65
  5. Step 5: Solve for x
    x = 1,005,142.65/1,138.22
  6. Step 6: Final answer
    x = 883.08

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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.