Home / 1,276.32-1,914.14-410.44

Finding the Fourth Proportional to 1,276.32, 1,914.14 and 410.44

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Solution

The fourth proportional to 1,276.32, 1,914.14 and 410.44 is: 615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.32 : 1,914.14 = 410.44 : x
  2. Step 2: Convert to fraction form
    1,276.32/1,914.14 = 410.44/x
  3. Step 3: Cross multiply
    1,276.32x = 1,914.14 × 410.44
  4. Step 4: Simplify right side
    1,276.32x = 785,639.62
  5. Step 5: Solve for x
    x = 785,639.62/1,276.32
  6. Step 6: Final answer
    x = 615.55

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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.