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Finding the Fourth Proportional to 1,278.14, 1,763.87 and 830.12

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Solution

The fourth proportional to 1,278.14, 1,763.87 and 830.12 is: 1,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.14 : 1,763.87 = 830.12 : x
  2. Step 2: Convert to fraction form
    1,278.14/1,763.87 = 830.12/x
  3. Step 3: Cross multiply
    1,278.14x = 1,763.87 × 830.12
  4. Step 4: Simplify right side
    1,278.14x = 1,464,210.79
  5. Step 5: Solve for x
    x = 1,464,210.79/1,278.14
  6. Step 6: Final answer
    x = 1,145.58

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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.