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Finding the Fourth Proportional to 575.93, 794.96 and 546.54

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Solution

The fourth proportional to 575.93, 794.96 and 546.54 is: 754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.93 : 794.96 = 546.54 : x
  2. Step 2: Convert to fraction form
    575.93/794.96 = 546.54/x
  3. Step 3: Cross multiply
    575.93x = 794.96 × 546.54
  4. Step 4: Simplify right side
    575.93x = 434,474.71
  5. Step 5: Solve for x
    x = 434,474.71/575.93
  6. Step 6: Final answer
    x = 754.39

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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.