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Finding the Fourth Proportional to 1,360.32, 2,040.50 and 386.42

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Solution

The fourth proportional to 1,360.32, 2,040.50 and 386.42 is: 579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.32 : 2,040.50 = 386.42 : x
  2. Step 2: Convert to fraction form
    1,360.32/2,040.50 = 386.42/x
  3. Step 3: Cross multiply
    1,360.32x = 2,040.50 × 386.42
  4. Step 4: Simplify right side
    1,360.32x = 788,488.08
  5. Step 5: Solve for x
    x = 788,488.08/1,360.32
  6. Step 6: Final answer
    x = 579.64

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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.