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Finding the Fourth Proportional to 784.95, 1,082.66 and 535.87

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Solution

The fourth proportional to 784.95, 1,082.66 and 535.87 is: 739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.95 : 1,082.66 = 535.87 : x
  2. Step 2: Convert to fraction form
    784.95/1,082.66 = 535.87/x
  3. Step 3: Cross multiply
    784.95x = 1,082.66 × 535.87
  4. Step 4: Simplify right side
    784.95x = 580,165.01
  5. Step 5: Solve for x
    x = 580,165.01/784.95
  6. Step 6: Final answer
    x = 739.11

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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.