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Finding the Fourth Proportional to 719.58, 1,077.99 and 410.94

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Solution

The fourth proportional to 719.58, 1,077.99 and 410.94 is: 615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.58 : 1,077.99 = 410.94 : x
  2. Step 2: Convert to fraction form
    719.58/1,077.99 = 410.94/x
  3. Step 3: Cross multiply
    719.58x = 1,077.99 × 410.94
  4. Step 4: Simplify right side
    719.58x = 442,989.21
  5. Step 5: Solve for x
    x = 442,989.21/719.58
  6. Step 6: Final answer
    x = 615.62

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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.