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Finding the Fourth Proportional to 837.85, 1,156.30 and 464.95

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Solution

The fourth proportional to 837.85, 1,156.30 and 464.95 is: 641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.85 : 1,156.30 = 464.95 : x
  2. Step 2: Convert to fraction form
    837.85/1,156.30 = 464.95/x
  3. Step 3: Cross multiply
    837.85x = 1,156.30 × 464.95
  4. Step 4: Simplify right side
    837.85x = 537,621.69
  5. Step 5: Solve for x
    x = 537,621.69/837.85
  6. Step 6: Final answer
    x = 641.67

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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.