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Finding the Fourth Proportional to 784.66, 1,082.83 and 435.34

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Solution

The fourth proportional to 784.66, 1,082.83 and 435.34 is: 600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.66 : 1,082.83 = 435.34 : x
  2. Step 2: Convert to fraction form
    784.66/1,082.83 = 435.34/x
  3. Step 3: Cross multiply
    784.66x = 1,082.83 × 435.34
  4. Step 4: Simplify right side
    784.66x = 471,399.21
  5. Step 5: Solve for x
    x = 471,399.21/784.66
  6. Step 6: Final answer
    x = 600.77

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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.