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Finding the Fourth Proportional to 597.98, 894.44 and 554.24

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Solution

The fourth proportional to 597.98, 894.44 and 554.24 is: 829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.98 : 894.44 = 554.24 : x
  2. Step 2: Convert to fraction form
    597.98/894.44 = 554.24/x
  3. Step 3: Cross multiply
    597.98x = 894.44 × 554.24
  4. Step 4: Simplify right side
    597.98x = 495,738.05
  5. Step 5: Solve for x
    x = 495,738.05/597.98
  6. Step 6: Final answer
    x = 829.02

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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.