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Finding the Fourth Proportional to 784.70, 1,082.96 and 435.45

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Solution

The fourth proportional to 784.70, 1,082.96 and 435.45 is: 600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.70 : 1,082.96 = 435.45 : x
  2. Step 2: Convert to fraction form
    784.70/1,082.96 = 435.45/x
  3. Step 3: Cross multiply
    784.70x = 1,082.96 × 435.45
  4. Step 4: Simplify right side
    784.70x = 471,572.75
  5. Step 5: Solve for x
    x = 471,572.75/784.70
  6. Step 6: Final answer
    x = 600.96

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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.