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Finding the Fourth Proportional to 1,412.39, 2,119.19 and 547.31

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Solution

The fourth proportional to 1,412.39, 2,119.19 and 547.31 is: 821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.39 : 2,119.19 = 547.31 : x
  2. Step 2: Convert to fraction form
    1,412.39/2,119.19 = 547.31/x
  3. Step 3: Cross multiply
    1,412.39x = 2,119.19 × 547.31
  4. Step 4: Simplify right side
    1,412.39x = 1,159,851.14
  5. Step 5: Solve for x
    x = 1,159,851.14/1,412.39
  6. Step 6: Final answer
    x = 821.20

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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.