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Finding the Fourth Proportional to 617.55, 925.03 and 596.25

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Solution

The fourth proportional to 617.55, 925.03 and 596.25 is: 893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.55 : 925.03 = 596.25 : x
  2. Step 2: Convert to fraction form
    617.55/925.03 = 596.25/x
  3. Step 3: Cross multiply
    617.55x = 925.03 × 596.25
  4. Step 4: Simplify right side
    617.55x = 551,549.14
  5. Step 5: Solve for x
    x = 551,549.14/617.55
  6. Step 6: Final answer
    x = 893.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.