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Finding the Fourth Proportional to 784.89, 1,082.16 and 504.66

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Solution

The fourth proportional to 784.89, 1,082.16 and 504.66 is: 695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.89 : 1,082.16 = 504.66 : x
  2. Step 2: Convert to fraction form
    784.89/1,082.16 = 504.66/x
  3. Step 3: Cross multiply
    784.89x = 1,082.16 × 504.66
  4. Step 4: Simplify right side
    784.89x = 546,122.87
  5. Step 5: Solve for x
    x = 546,122.87/784.89
  6. Step 6: Final answer
    x = 695.80

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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.