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Finding the Fourth Proportional to 784.95, 1,082.73 and 619.11

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Solution

The fourth proportional to 784.95, 1,082.73 and 619.11 is: 853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.95 : 1,082.73 = 619.11 : x
  2. Step 2: Convert to fraction form
    784.95/1,082.73 = 619.11/x
  3. Step 3: Cross multiply
    784.95x = 1,082.73 × 619.11
  4. Step 4: Simplify right side
    784.95x = 670,328.97
  5. Step 5: Solve for x
    x = 670,328.97/784.95
  6. Step 6: Final answer
    x = 853.98

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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.