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Finding the Fourth Proportional to 1,412.84, 2,120.12 and 547.12

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Solution

The fourth proportional to 1,412.84, 2,120.12 and 547.12 is: 821.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.84 : 2,120.12 = 547.12 : x
  2. Step 2: Convert to fraction form
    1,412.84/2,120.12 = 547.12/x
  3. Step 3: Cross multiply
    1,412.84x = 2,120.12 × 547.12
  4. Step 4: Simplify right side
    1,412.84x = 1,159,960.05
  5. Step 5: Solve for x
    x = 1,159,960.05/1,412.84
  6. Step 6: Final answer
    x = 821.01

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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.