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Finding the Fourth Proportional to 837.96, 1,156.41 and 465

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Solution

The fourth proportional to 837.96, 1,156.41 and 465 is: 641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.96 : 1,156.41 = 465 : x
  2. Step 2: Convert to fraction form
    837.96/1,156.41 = 465/x
  3. Step 3: Cross multiply
    837.96x = 1,156.41 × 465
  4. Step 4: Simplify right side
    837.96x = 537,728.33
  5. Step 5: Solve for x
    x = 537,728.33/837.96
  6. Step 6: Final answer
    x = 641.71

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Double scale
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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.