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Finding the Fourth Proportional to 1,412.68, 1,949.12 and 852.96

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Solution

The fourth proportional to 1,412.68, 1,949.12 and 852.96 is: 1,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.68 : 1,949.12 = 852.96 : x
  2. Step 2: Convert to fraction form
    1,412.68/1,949.12 = 852.96/x
  3. Step 3: Cross multiply
    1,412.68x = 1,949.12 × 852.96
  4. Step 4: Simplify right side
    1,412.68x = 1,662,521.40
  5. Step 5: Solve for x
    x = 1,662,521.40/1,412.68
  6. Step 6: Final answer
    x = 1,176.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.