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Finding the Fourth Proportional to 838.14, 1,156.86 and 506.76

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Solution

The fourth proportional to 838.14, 1,156.86 and 506.76 is: 699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.14 : 1,156.86 = 506.76 : x
  2. Step 2: Convert to fraction form
    838.14/1,156.86 = 506.76/x
  3. Step 3: Cross multiply
    838.14x = 1,156.86 × 506.76
  4. Step 4: Simplify right side
    838.14x = 586,250.37
  5. Step 5: Solve for x
    x = 586,250.37/838.14
  6. Step 6: Final answer
    x = 699.47

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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.