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Finding the Fourth Proportional to 784.49, 1,082.59 and 430.41

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Solution

The fourth proportional to 784.49, 1,082.59 and 430.41 is: 593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.49 : 1,082.59 = 430.41 : x
  2. Step 2: Convert to fraction form
    784.49/1,082.59 = 430.41/x
  3. Step 3: Cross multiply
    784.49x = 1,082.59 × 430.41
  4. Step 4: Simplify right side
    784.49x = 465,955.41
  5. Step 5: Solve for x
    x = 465,955.41/784.49
  6. Step 6: Final answer
    x = 593.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.