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Finding the Fourth Proportional to 896.16, 1,237.12 and 597.90

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Solution

The fourth proportional to 896.16, 1,237.12 and 597.90 is: 825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.16 : 1,237.12 = 597.90 : x
  2. Step 2: Convert to fraction form
    896.16/1,237.12 = 597.90/x
  3. Step 3: Cross multiply
    896.16x = 1,237.12 × 597.90
  4. Step 4: Simplify right side
    896.16x = 739,671.06
  5. Step 5: Solve for x
    x = 739,671.06/896.16
  6. Step 6: Final answer
    x = 825.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.