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Finding the Fourth Proportional to 794.40, 1,096.32 and 546

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Solution

The fourth proportional to 794.40, 1,096.32 and 546 is: 753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.40 : 1,096.32 = 546 : x
  2. Step 2: Convert to fraction form
    794.40/1,096.32 = 546/x
  3. Step 3: Cross multiply
    794.40x = 1,096.32 × 546
  4. Step 4: Simplify right side
    794.40x = 598,590.72
  5. Step 5: Solve for x
    x = 598,590.72/794.40
  6. Step 6: Final answer
    x = 753.51

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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.