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Finding the Fourth Proportional to 746, 1,119.04 and 528.96

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Solution

The fourth proportional to 746, 1,119.04 and 528.96 is: 793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    746 : 1,119.04 = 528.96 : x
  2. Step 2: Convert to fraction form
    746/1,119.04 = 528.96/x
  3. Step 3: Cross multiply
    746x = 1,119.04 × 528.96
  4. Step 4: Simplify right side
    746x = 591,927.40
  5. Step 5: Solve for x
    x = 591,927.40/746
  6. Step 6: Final answer
    x = 793.47

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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.