Home / 1,276.38-1,914.56-410.68

Finding the Fourth Proportional to 1,276.38, 1,914.56 and 410.68

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Solution

The fourth proportional to 1,276.38, 1,914.56 and 410.68 is: 616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.38 : 1,914.56 = 410.68 : x
  2. Step 2: Convert to fraction form
    1,276.38/1,914.56 = 410.68/x
  3. Step 3: Cross multiply
    1,276.38x = 1,914.56 × 410.68
  4. Step 4: Simplify right side
    1,276.38x = 786,271.50
  5. Step 5: Solve for x
    x = 786,271.50/1,276.38
  6. Step 6: Final answer
    x = 616.02

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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.