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Finding the Fourth Proportional to 798.34, 1,197.32 and 285.34

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Solution

The fourth proportional to 798.34, 1,197.32 and 285.34 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.34 : 1,197.32 = 285.34 : x
  2. Step 2: Convert to fraction form
    798.34/1,197.32 = 285.34/x
  3. Step 3: Cross multiply
    798.34x = 1,197.32 × 285.34
  4. Step 4: Simplify right side
    798.34x = 341,643.29
  5. Step 5: Solve for x
    x = 341,643.29/798.34
  6. Step 6: Final answer
    x = 427.94

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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.