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Finding the Fourth Proportional to 784.61, 1,082.79 and 430.57

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Solution

The fourth proportional to 784.61, 1,082.79 and 430.57 is: 594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.61 : 1,082.79 = 430.57 : x
  2. Step 2: Convert to fraction form
    784.61/1,082.79 = 430.57/x
  3. Step 3: Cross multiply
    784.61x = 1,082.79 × 430.57
  4. Step 4: Simplify right side
    784.61x = 466,211.48
  5. Step 5: Solve for x
    x = 466,211.48/784.61
  6. Step 6: Final answer
    x = 594.20

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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.