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Finding the Fourth Proportional to 794.25, 1,096.10 and 528.23

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Solution

The fourth proportional to 794.25, 1,096.10 and 528.23 is: 728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.25 : 1,096.10 = 528.23 : x
  2. Step 2: Convert to fraction form
    794.25/1,096.10 = 528.23/x
  3. Step 3: Cross multiply
    794.25x = 1,096.10 × 528.23
  4. Step 4: Simplify right side
    794.25x = 578,994.98
  5. Step 5: Solve for x
    x = 578,994.98/794.25
  6. Step 6: Final answer
    x = 728.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.