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Finding the Fourth Proportional to 838.26, 1,156.76 and 465.23

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Solution

The fourth proportional to 838.26, 1,156.76 and 465.23 is: 641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.26 : 1,156.76 = 465.23 : x
  2. Step 2: Convert to fraction form
    838.26/1,156.76 = 465.23/x
  3. Step 3: Cross multiply
    838.26x = 1,156.76 × 465.23
  4. Step 4: Simplify right side
    838.26x = 538,151.34
  5. Step 5: Solve for x
    x = 538,151.34/838.26
  6. Step 6: Final answer
    x = 641.99

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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.