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Finding the Fourth Proportional to 795.11, 1,096.41 and 546.79

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Solution

The fourth proportional to 795.11, 1,096.41 and 546.79 is: 753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.11 : 1,096.41 = 546.79 : x
  2. Step 2: Convert to fraction form
    795.11/1,096.41 = 546.79/x
  3. Step 3: Cross multiply
    795.11x = 1,096.41 × 546.79
  4. Step 4: Simplify right side
    795.11x = 599,506.02
  5. Step 5: Solve for x
    x = 599,506.02/795.11
  6. Step 6: Final answer
    x = 753.99

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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.