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Finding the Fourth Proportional to 1,137.75, 1,706.47 and 589.65

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Solution

The fourth proportional to 1,137.75, 1,706.47 and 589.65 is: 884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.75 : 1,706.47 = 589.65 : x
  2. Step 2: Convert to fraction form
    1,137.75/1,706.47 = 589.65/x
  3. Step 3: Cross multiply
    1,137.75x = 1,706.47 × 589.65
  4. Step 4: Simplify right side
    1,137.75x = 1,006,220.04
  5. Step 5: Solve for x
    x = 1,006,220.04/1,137.75
  6. Step 6: Final answer
    x = 884.39

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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.