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Finding the Fourth Proportional to 836.84, 1,254.89 and 446.77

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Solution

The fourth proportional to 836.84, 1,254.89 and 446.77 is: 669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.84 : 1,254.89 = 446.77 : x
  2. Step 2: Convert to fraction form
    836.84/1,254.89 = 446.77/x
  3. Step 3: Cross multiply
    836.84x = 1,254.89 × 446.77
  4. Step 4: Simplify right side
    836.84x = 560,647.21
  5. Step 5: Solve for x
    x = 560,647.21/836.84
  6. Step 6: Final answer
    x = 669.96

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1.5x scale

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.