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Finding the Fourth Proportional to 754.94, 1,040.82 and 492.50

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Solution

The fourth proportional to 754.94, 1,040.82 and 492.50 is: 679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.94 : 1,040.82 = 492.50 : x
  2. Step 2: Convert to fraction form
    754.94/1,040.82 = 492.50/x
  3. Step 3: Cross multiply
    754.94x = 1,040.82 × 492.50
  4. Step 4: Simplify right side
    754.94x = 512,603.85
  5. Step 5: Solve for x
    x = 512,603.85/754.94
  6. Step 6: Final answer
    x = 679.00

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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.