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Finding the Fourth Proportional to 838.46, 1,157.11 and 465.48

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Solution

The fourth proportional to 838.46, 1,157.11 and 465.48 is: 642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.46 : 1,157.11 = 465.48 : x
  2. Step 2: Convert to fraction form
    838.46/1,157.11 = 465.48/x
  3. Step 3: Cross multiply
    838.46x = 1,157.11 × 465.48
  4. Step 4: Simplify right side
    838.46x = 538,611.56
  5. Step 5: Solve for x
    x = 538,611.56/838.46
  6. Step 6: Final answer
    x = 642.38

Related Problems

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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.