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Finding the Fourth Proportional to 1,137.41, 1,706.54 and 589.25

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Solution

The fourth proportional to 1,137.41, 1,706.54 and 589.25 is: 884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.41 : 1,706.54 = 589.25 : x
  2. Step 2: Convert to fraction form
    1,137.41/1,706.54 = 589.25/x
  3. Step 3: Cross multiply
    1,137.41x = 1,706.54 × 589.25
  4. Step 4: Simplify right side
    1,137.41x = 1,005,567.22
  5. Step 5: Solve for x
    x = 1,005,567.22/1,137.41
  6. Step 6: Final answer
    x = 884.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.