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Finding the Fourth Proportional to 719.79, 1,078.95 and 309.03

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Solution

The fourth proportional to 719.79, 1,078.95 and 309.03 is: 463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.79 : 1,078.95 = 309.03 : x
  2. Step 2: Convert to fraction form
    719.79/1,078.95 = 309.03/x
  3. Step 3: Cross multiply
    719.79x = 1,078.95 × 309.03
  4. Step 4: Simplify right side
    719.79x = 333,427.92
  5. Step 5: Solve for x
    x = 333,427.92/719.79
  6. Step 6: Final answer
    x = 463.23

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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.