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Finding the Fourth Proportional to 748.02, 1,119.06 and 701.94

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Solution

The fourth proportional to 748.02, 1,119.06 and 701.94 is: 1,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.02 : 1,119.06 = 701.94 : x
  2. Step 2: Convert to fraction form
    748.02/1,119.06 = 701.94/x
  3. Step 3: Cross multiply
    748.02x = 1,119.06 × 701.94
  4. Step 4: Simplify right side
    748.02x = 785,512.98
  5. Step 5: Solve for x
    x = 785,512.98/748.02
  6. Step 6: Final answer
    x = 1,050.12

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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.