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Finding the Fourth Proportional to 1,120.65, 1,678.68 and 936.12

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Solution

The fourth proportional to 1,120.65, 1,678.68 and 936.12 is: 1,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.65 : 1,678.68 = 936.12 : x
  2. Step 2: Convert to fraction form
    1,120.65/1,678.68 = 936.12/x
  3. Step 3: Cross multiply
    1,120.65x = 1,678.68 × 936.12
  4. Step 4: Simplify right side
    1,120.65x = 1,571,445.92
  5. Step 5: Solve for x
    x = 1,571,445.92/1,120.65
  6. Step 6: Final answer
    x = 1,402.26

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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.