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Finding the Fourth Proportional to 754.87, 1,041.87 and 489.64

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Solution

The fourth proportional to 754.87, 1,041.87 and 489.64 is: 675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.87 : 1,041.87 = 489.64 : x
  2. Step 2: Convert to fraction form
    754.87/1,041.87 = 489.64/x
  3. Step 3: Cross multiply
    754.87x = 1,041.87 × 489.64
  4. Step 4: Simplify right side
    754.87x = 510,141.23
  5. Step 5: Solve for x
    x = 510,141.23/754.87
  6. Step 6: Final answer
    x = 675.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.