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Finding the Fourth Proportional to 606.53, 903.26 and 586.02

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Solution

The fourth proportional to 606.53, 903.26 and 586.02 is: 872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.53 : 903.26 = 586.02 : x
  2. Step 2: Convert to fraction form
    606.53/903.26 = 586.02/x
  3. Step 3: Cross multiply
    606.53x = 903.26 × 586.02
  4. Step 4: Simplify right side
    606.53x = 529,333.28
  5. Step 5: Solve for x
    x = 529,333.28/606.53
  6. Step 6: Final answer
    x = 872.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.