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Finding the Fourth Proportional to 834.58, 1,151.77 and 485.38

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Solution

The fourth proportional to 834.58, 1,151.77 and 485.38 is: 669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.58 : 1,151.77 = 485.38 : x
  2. Step 2: Convert to fraction form
    834.58/1,151.77 = 485.38/x
  3. Step 3: Cross multiply
    834.58x = 1,151.77 × 485.38
  4. Step 4: Simplify right side
    834.58x = 559,046.12
  5. Step 5: Solve for x
    x = 559,046.12/834.58
  6. Step 6: Final answer
    x = 669.85

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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.