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Finding the Fourth Proportional to 836.75, 1,154.54 and 482.67

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Solution

The fourth proportional to 836.75, 1,154.54 and 482.67 is: 665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.75 : 1,154.54 = 482.67 : x
  2. Step 2: Convert to fraction form
    836.75/1,154.54 = 482.67/x
  3. Step 3: Cross multiply
    836.75x = 1,154.54 × 482.67
  4. Step 4: Simplify right side
    836.75x = 557,259.41
  5. Step 5: Solve for x
    x = 557,259.41/836.75
  6. Step 6: Final answer
    x = 665.98

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