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Finding the Fourth Proportional to 784.70, 1,082.90 and 430.66

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Solution

The fourth proportional to 784.70, 1,082.90 and 430.66 is: 594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.70 : 1,082.90 = 430.66 : x
  2. Step 2: Convert to fraction form
    784.70/1,082.90 = 430.66/x
  3. Step 3: Cross multiply
    784.70x = 1,082.90 × 430.66
  4. Step 4: Simplify right side
    784.70x = 466,360.08
  5. Step 5: Solve for x
    x = 466,360.08/784.70
  6. Step 6: Final answer
    x = 594.31

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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.