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Finding the Fourth Proportional to 1,137.61, 1,706.01 and 704.26

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Solution

The fourth proportional to 1,137.61, 1,706.01 and 704.26 is: 1,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.61 : 1,706.01 = 704.26 : x
  2. Step 2: Convert to fraction form
    1,137.61/1,706.01 = 704.26/x
  3. Step 3: Cross multiply
    1,137.61x = 1,706.01 × 704.26
  4. Step 4: Simplify right side
    1,137.61x = 1,201,474.60
  5. Step 5: Solve for x
    x = 1,201,474.60/1,137.61
  6. Step 6: Final answer
    x = 1,056.14

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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.