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Finding the Fourth Proportional to 712.06, 982.90 and 443.10

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Solution

The fourth proportional to 712.06, 982.90 and 443.10 is: 611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.06 : 982.90 = 443.10 : x
  2. Step 2: Convert to fraction form
    712.06/982.90 = 443.10/x
  3. Step 3: Cross multiply
    712.06x = 982.90 × 443.10
  4. Step 4: Simplify right side
    712.06x = 435,522.99
  5. Step 5: Solve for x
    x = 435,522.99/712.06
  6. Step 6: Final answer
    x = 611.64

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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.