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Finding the Fourth Proportional to 653.85, 897.39 and 598.23

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Solution

The fourth proportional to 653.85, 897.39 and 598.23 is: 821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.85 : 897.39 = 598.23 : x
  2. Step 2: Convert to fraction form
    653.85/897.39 = 598.23/x
  3. Step 3: Cross multiply
    653.85x = 897.39 × 598.23
  4. Step 4: Simplify right side
    653.85x = 536,845.62
  5. Step 5: Solve for x
    x = 536,845.62/653.85
  6. Step 6: Final answer
    x = 821.05

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