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Finding the Fourth Proportional to 719.16, 1,077.19 and 410.85

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Solution

The fourth proportional to 719.16, 1,077.19 and 410.85 is: 615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.16 : 1,077.19 = 410.85 : x
  2. Step 2: Convert to fraction form
    719.16/1,077.19 = 410.85/x
  3. Step 3: Cross multiply
    719.16x = 1,077.19 × 410.85
  4. Step 4: Simplify right side
    719.16x = 442,563.51
  5. Step 5: Solve for x
    x = 442,563.51/719.16
  6. Step 6: Final answer
    x = 615.39

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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.