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Finding the Fourth Proportional to 836.40, 1,154.64 and 556.80

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Solution

The fourth proportional to 836.40, 1,154.64 and 556.80 is: 768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.40 : 1,154.64 = 556.80 : x
  2. Step 2: Convert to fraction form
    836.40/1,154.64 = 556.80/x
  3. Step 3: Cross multiply
    836.40x = 1,154.64 × 556.80
  4. Step 4: Simplify right side
    836.40x = 642,903.55
  5. Step 5: Solve for x
    x = 642,903.55/836.40
  6. Step 6: Final answer
    x = 768.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.