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Finding the Fourth Proportional to 785.01, 1,082.94 and 609.14

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Solution

The fourth proportional to 785.01, 1,082.94 and 609.14 is: 840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.01 : 1,082.94 = 609.14 : x
  2. Step 2: Convert to fraction form
    785.01/1,082.94 = 609.14/x
  3. Step 3: Cross multiply
    785.01x = 1,082.94 × 609.14
  4. Step 4: Simplify right side
    785.01x = 659,662.49
  5. Step 5: Solve for x
    x = 659,662.49/785.01
  6. Step 6: Final answer
    x = 840.32

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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.