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Finding the Fourth Proportional to 719.46, 1,078.56 and 302.94

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Solution

The fourth proportional to 719.46, 1,078.56 and 302.94 is: 454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.46 : 1,078.56 = 302.94 : x
  2. Step 2: Convert to fraction form
    719.46/1,078.56 = 302.94/x
  3. Step 3: Cross multiply
    719.46x = 1,078.56 × 302.94
  4. Step 4: Simplify right side
    719.46x = 326,738.97
  5. Step 5: Solve for x
    x = 326,738.97/719.46
  6. Step 6: Final answer
    x = 454.14

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Why These Related Problems?

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