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Finding the Fourth Proportional to 1,412.56, 2,119.38 and 546.76

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Solution

The fourth proportional to 1,412.56, 2,119.38 and 546.76 is: 820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.56 : 2,119.38 = 546.76 : x
  2. Step 2: Convert to fraction form
    1,412.56/2,119.38 = 546.76/x
  3. Step 3: Cross multiply
    1,412.56x = 2,119.38 × 546.76
  4. Step 4: Simplify right side
    1,412.56x = 1,158,792.21
  5. Step 5: Solve for x
    x = 1,158,792.21/1,412.56
  6. Step 6: Final answer
    x = 820.35

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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.