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Finding the Fourth Proportional to 609.02, 840.66 and 546.74

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Solution

The fourth proportional to 609.02, 840.66 and 546.74 is: 754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.02 : 840.66 = 546.74 : x
  2. Step 2: Convert to fraction form
    609.02/840.66 = 546.74/x
  3. Step 3: Cross multiply
    609.02x = 840.66 × 546.74
  4. Step 4: Simplify right side
    609.02x = 459,622.45
  5. Step 5: Solve for x
    x = 459,622.45/609.02
  6. Step 6: Final answer
    x = 754.69

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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.