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Finding the Fourth Proportional to 719.80, 1,078.32 and 410.74

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Solution

The fourth proportional to 719.80, 1,078.32 and 410.74 is: 615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.80 : 1,078.32 = 410.74 : x
  2. Step 2: Convert to fraction form
    719.80/1,078.32 = 410.74/x
  3. Step 3: Cross multiply
    719.80x = 1,078.32 × 410.74
  4. Step 4: Simplify right side
    719.80x = 442,909.16
  5. Step 5: Solve for x
    x = 442,909.16/719.80
  6. Step 6: Final answer
    x = 615.32

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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.