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Finding the Fourth Proportional to 837.63, 1,256.19 and 282.23

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Solution

The fourth proportional to 837.63, 1,256.19 and 282.23 is: 423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.63 : 1,256.19 = 282.23 : x
  2. Step 2: Convert to fraction form
    837.63/1,256.19 = 282.23/x
  3. Step 3: Cross multiply
    837.63x = 1,256.19 × 282.23
  4. Step 4: Simplify right side
    837.63x = 354,533.09
  5. Step 5: Solve for x
    x = 354,533.09/837.63
  6. Step 6: Final answer
    x = 423.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.