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Finding the Fourth Proportional to 602.04, 826.20 and 546.60

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Solution

The fourth proportional to 602.04, 826.20 and 546.60 is: 750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.04 : 826.20 = 546.60 : x
  2. Step 2: Convert to fraction form
    602.04/826.20 = 546.60/x
  3. Step 3: Cross multiply
    602.04x = 826.20 × 546.60
  4. Step 4: Simplify right side
    602.04x = 451,600.92
  5. Step 5: Solve for x
    x = 451,600.92/602.04
  6. Step 6: Final answer
    x = 750.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.