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Finding the Fourth Proportional to 597.17, 894.39 and 537.03

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Solution

The fourth proportional to 597.17, 894.39 and 537.03 is: 804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 894.39 = 537.03 : x
  2. Step 2: Convert to fraction form
    597.17/894.39 = 537.03/x
  3. Step 3: Cross multiply
    597.17x = 894.39 × 537.03
  4. Step 4: Simplify right side
    597.17x = 480,315.27
  5. Step 5: Solve for x
    x = 480,315.27/597.17
  6. Step 6: Final answer
    x = 804.32

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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.