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Finding the Fourth Proportional to 1,386.53, 2,080.14 and 412.64

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Solution

The fourth proportional to 1,386.53, 2,080.14 and 412.64 is: 619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.53 : 2,080.14 = 412.64 : x
  2. Step 2: Convert to fraction form
    1,386.53/2,080.14 = 412.64/x
  3. Step 3: Cross multiply
    1,386.53x = 2,080.14 × 412.64
  4. Step 4: Simplify right side
    1,386.53x = 858,338.57
  5. Step 5: Solve for x
    x = 858,338.57/1,386.53
  6. Step 6: Final answer
    x = 619.06

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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.