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Finding the Fourth Proportional to 803.02, 1,107.66 and 492.52

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Solution

The fourth proportional to 803.02, 1,107.66 and 492.52 is: 679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.02 : 1,107.66 = 492.52 : x
  2. Step 2: Convert to fraction form
    803.02/1,107.66 = 492.52/x
  3. Step 3: Cross multiply
    803.02x = 1,107.66 × 492.52
  4. Step 4: Simplify right side
    803.02x = 545,544.70
  5. Step 5: Solve for x
    x = 545,544.70/803.02
  6. Step 6: Final answer
    x = 679.37

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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.