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Finding the Fourth Proportional to 838.74, 1,157.41 and 465.70

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Solution

The fourth proportional to 838.74, 1,157.41 and 465.70 is: 642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.74 : 1,157.41 = 465.70 : x
  2. Step 2: Convert to fraction form
    838.74/1,157.41 = 465.70/x
  3. Step 3: Cross multiply
    838.74x = 1,157.41 × 465.70
  4. Step 4: Simplify right side
    838.74x = 539,001.78
  5. Step 5: Solve for x
    x = 539,001.78/838.74
  6. Step 6: Final answer
    x = 642.63

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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.