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Finding the Fourth Proportional to 836.40, 1,254.04 and 446.16

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Solution

The fourth proportional to 836.40, 1,254.04 and 446.16 is: 668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.40 : 1,254.04 = 446.16 : x
  2. Step 2: Convert to fraction form
    836.40/1,254.04 = 446.16/x
  3. Step 3: Cross multiply
    836.40x = 1,254.04 × 446.16
  4. Step 4: Simplify right side
    836.40x = 559,503.04
  5. Step 5: Solve for x
    x = 559,503.04/836.40
  6. Step 6: Final answer
    x = 668.94

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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.