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Finding the Fourth Proportional to 719.56, 993.06 and 499.24

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Solution

The fourth proportional to 719.56, 993.06 and 499.24 is: 689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.56 : 993.06 = 499.24 : x
  2. Step 2: Convert to fraction form
    719.56/993.06 = 499.24/x
  3. Step 3: Cross multiply
    719.56x = 993.06 × 499.24
  4. Step 4: Simplify right side
    719.56x = 495,775.27
  5. Step 5: Solve for x
    x = 495,775.27/719.56
  6. Step 6: Final answer
    x = 689.00

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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.