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Finding the Fourth Proportional to 603.08, 837.84 and 597.16

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Solution

The fourth proportional to 603.08, 837.84 and 597.16 is: 829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.08 : 837.84 = 597.16 : x
  2. Step 2: Convert to fraction form
    603.08/837.84 = 597.16/x
  3. Step 3: Cross multiply
    603.08x = 837.84 × 597.16
  4. Step 4: Simplify right side
    603.08x = 500,324.53
  5. Step 5: Solve for x
    x = 500,324.53/603.08
  6. Step 6: Final answer
    x = 829.62

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.