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Finding the Fourth Proportional to 1,386.52, 2,079.80 and 412.68

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Solution

The fourth proportional to 1,386.52, 2,079.80 and 412.68 is: 619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.52 : 2,079.80 = 412.68 : x
  2. Step 2: Convert to fraction form
    1,386.52/2,079.80 = 412.68/x
  3. Step 3: Cross multiply
    1,386.52x = 2,079.80 × 412.68
  4. Step 4: Simplify right side
    1,386.52x = 858,291.86
  5. Step 5: Solve for x
    x = 858,291.86/1,386.52
  6. Step 6: Final answer
    x = 619.03

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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.