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Finding the Fourth Proportional to 834.16, 1,150.68 and 585.86

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Solution

The fourth proportional to 834.16, 1,150.68 and 585.86 is: 808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.16 : 1,150.68 = 585.86 : x
  2. Step 2: Convert to fraction form
    834.16/1,150.68 = 585.86/x
  3. Step 3: Cross multiply
    834.16x = 1,150.68 × 585.86
  4. Step 4: Simplify right side
    834.16x = 674,137.38
  5. Step 5: Solve for x
    x = 674,137.38/834.16
  6. Step 6: Final answer
    x = 808.16

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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.