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Finding the Fourth Proportional to 830.84, 1,246.23 and 253.71

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Solution

The fourth proportional to 830.84, 1,246.23 and 253.71 is: 380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,246.23 = 253.71 : x
  2. Step 2: Convert to fraction form
    830.84/1,246.23 = 253.71/x
  3. Step 3: Cross multiply
    830.84x = 1,246.23 × 253.71
  4. Step 4: Simplify right side
    830.84x = 316,181.01
  5. Step 5: Solve for x
    x = 316,181.01/830.84
  6. Step 6: Final answer
    x = 380.56

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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.