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Finding the Fourth Proportional to 712.44, 983.22 and 436.44

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Solution

The fourth proportional to 712.44, 983.22 and 436.44 is: 602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 983.22 = 436.44 : x
  2. Step 2: Convert to fraction form
    712.44/983.22 = 436.44/x
  3. Step 3: Cross multiply
    712.44x = 983.22 × 436.44
  4. Step 4: Simplify right side
    712.44x = 429,116.54
  5. Step 5: Solve for x
    x = 429,116.54/712.44
  6. Step 6: Final answer
    x = 602.32

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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.