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Finding the Fourth Proportional to 837.96, 1,156.30 and 464.88

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Solution

The fourth proportional to 837.96, 1,156.30 and 464.88 is: 641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.96 : 1,156.30 = 464.88 : x
  2. Step 2: Convert to fraction form
    837.96/1,156.30 = 464.88/x
  3. Step 3: Cross multiply
    837.96x = 1,156.30 × 464.88
  4. Step 4: Simplify right side
    837.96x = 537,540.74
  5. Step 5: Solve for x
    x = 537,540.74/837.96
  6. Step 6: Final answer
    x = 641.49

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1.5x scale

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.