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Finding the Fourth Proportional to 1,398.02, 2,096.75 and 704.50

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Solution

The fourth proportional to 1,398.02, 2,096.75 and 704.50 is: 1,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.02 : 2,096.75 = 704.50 : x
  2. Step 2: Convert to fraction form
    1,398.02/2,096.75 = 704.50/x
  3. Step 3: Cross multiply
    1,398.02x = 2,096.75 × 704.50
  4. Step 4: Simplify right side
    1,398.02x = 1,477,156.89
  5. Step 5: Solve for x
    x = 1,477,156.89/1,398.02
  6. Step 6: Final answer
    x = 1,056.61

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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.