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Finding the Fourth Proportional to 783.55, 1,082.02 and 504.44

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Solution

The fourth proportional to 783.55, 1,082.02 and 504.44 is: 696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.55 : 1,082.02 = 504.44 : x
  2. Step 2: Convert to fraction form
    783.55/1,082.02 = 504.44/x
  3. Step 3: Cross multiply
    783.55x = 1,082.02 × 504.44
  4. Step 4: Simplify right side
    783.55x = 545,807.50
  5. Step 5: Solve for x
    x = 545,807.50/783.55
  6. Step 6: Final answer
    x = 696.59

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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.