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Finding the Fourth Proportional to 1,278.19, 1,917.59 and 412.50

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Solution

The fourth proportional to 1,278.19, 1,917.59 and 412.50 is: 618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.19 : 1,917.59 = 412.50 : x
  2. Step 2: Convert to fraction form
    1,278.19/1,917.59 = 412.50/x
  3. Step 3: Cross multiply
    1,278.19x = 1,917.59 × 412.50
  4. Step 4: Simplify right side
    1,278.19x = 791,003.81
  5. Step 5: Solve for x
    x = 791,003.81/1,278.19
  6. Step 6: Final answer
    x = 618.85

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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.