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Finding the Fourth Proportional to 1,386.90, 2,080.28 and 413

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Solution

The fourth proportional to 1,386.90, 2,080.28 and 413 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.90 : 2,080.28 = 413 : x
  2. Step 2: Convert to fraction form
    1,386.90/2,080.28 = 413/x
  3. Step 3: Cross multiply
    1,386.90x = 2,080.28 × 413
  4. Step 4: Simplify right side
    1,386.90x = 859,155.64
  5. Step 5: Solve for x
    x = 859,155.64/1,386.90
  6. Step 6: Final answer
    x = 619.48

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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.