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Finding the Fourth Proportional to 754.31, 1,041.00 and 492.78

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Solution

The fourth proportional to 754.31, 1,041.00 and 492.78 is: 680.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.31 : 1,041.00 = 492.78 : x
  2. Step 2: Convert to fraction form
    754.31/1,041.00 = 492.78/x
  3. Step 3: Cross multiply
    754.31x = 1,041.00 × 492.78
  4. Step 4: Simplify right side
    754.31x = 512,988.81
  5. Step 5: Solve for x
    x = 512,988.81/754.31
  6. Step 6: Final answer
    x = 680.07

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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.