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Finding the Fourth Proportional to 942.79, 1,415.00 and 504.39

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Solution

The fourth proportional to 942.79, 1,415.00 and 504.39 is: 757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.79 : 1,415.00 = 504.39 : x
  2. Step 2: Convert to fraction form
    942.79/1,415.00 = 504.39/x
  3. Step 3: Cross multiply
    942.79x = 1,415.00 × 504.39
  4. Step 4: Simplify right side
    942.79x = 713,706.04
  5. Step 5: Solve for x
    x = 713,706.04/942.79
  6. Step 6: Final answer
    x = 757.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.