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Finding the Fourth Proportional to 837.92, 1,156.32 and 464.94

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Solution

The fourth proportional to 837.92, 1,156.32 and 464.94 is: 641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.92 : 1,156.32 = 464.94 : x
  2. Step 2: Convert to fraction form
    837.92/1,156.32 = 464.94/x
  3. Step 3: Cross multiply
    837.92x = 1,156.32 × 464.94
  4. Step 4: Simplify right side
    837.92x = 537,619.42
  5. Step 5: Solve for x
    x = 537,619.42/837.92
  6. Step 6: Final answer
    x = 641.61

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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.