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Finding the Fourth Proportional to 834.48, 1,151.64 and 585.71

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Solution

The fourth proportional to 834.48, 1,151.64 and 585.71 is: 808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.48 : 1,151.64 = 585.71 : x
  2. Step 2: Convert to fraction form
    834.48/1,151.64 = 585.71/x
  3. Step 3: Cross multiply
    834.48x = 1,151.64 × 585.71
  4. Step 4: Simplify right side
    834.48x = 674,525.62
  5. Step 5: Solve for x
    x = 674,525.62/834.48
  6. Step 6: Final answer
    x = 808.32

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Half scale
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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.