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Finding the Fourth Proportional to 830.64, 1,244.82 and 397.02

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Solution

The fourth proportional to 830.64, 1,244.82 and 397.02 is: 594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.64 : 1,244.82 = 397.02 : x
  2. Step 2: Convert to fraction form
    830.64/1,244.82 = 397.02/x
  3. Step 3: Cross multiply
    830.64x = 1,244.82 × 397.02
  4. Step 4: Simplify right side
    830.64x = 494,218.44
  5. Step 5: Solve for x
    x = 494,218.44/830.64
  6. Step 6: Final answer
    x = 594.99

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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.