Home / 1,386.24-2,078.88-412.08

Finding the Fourth Proportional to 1,386.24, 2,078.88 and 412.08

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Solution

The fourth proportional to 1,386.24, 2,078.88 and 412.08 is: 617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.24 : 2,078.88 = 412.08 : x
  2. Step 2: Convert to fraction form
    1,386.24/2,078.88 = 412.08/x
  3. Step 3: Cross multiply
    1,386.24x = 2,078.88 × 412.08
  4. Step 4: Simplify right side
    1,386.24x = 856,664.87
  5. Step 5: Solve for x
    x = 856,664.87/1,386.24
  6. Step 6: Final answer
    x = 617.98

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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.