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Finding the Fourth Proportional to 1,137.72, 1,705.47 and 704.64

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Solution

The fourth proportional to 1,137.72, 1,705.47 and 704.64 is: 1,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.72 : 1,705.47 = 704.64 : x
  2. Step 2: Convert to fraction form
    1,137.72/1,705.47 = 704.64/x
  3. Step 3: Cross multiply
    1,137.72x = 1,705.47 × 704.64
  4. Step 4: Simplify right side
    1,137.72x = 1,201,742.38
  5. Step 5: Solve for x
    x = 1,201,742.38/1,137.72
  6. Step 6: Final answer
    x = 1,056.27

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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.