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Finding the Fourth Proportional to 830.84, 1,246.56 and 397.70

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Solution

The fourth proportional to 830.84, 1,246.56 and 397.70 is: 596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,246.56 = 397.70 : x
  2. Step 2: Convert to fraction form
    830.84/1,246.56 = 397.70/x
  3. Step 3: Cross multiply
    830.84x = 1,246.56 × 397.70
  4. Step 4: Simplify right side
    830.84x = 495,750.68
  5. Step 5: Solve for x
    x = 495,750.68/830.84
  6. Step 6: Final answer
    x = 596.69

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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.