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Finding the Fourth Proportional to 1,278.06, 1,917.11 and 584.70

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Solution

The fourth proportional to 1,278.06, 1,917.11 and 584.70 is: 877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.06 : 1,917.11 = 584.70 : x
  2. Step 2: Convert to fraction form
    1,278.06/1,917.11 = 584.70/x
  3. Step 3: Cross multiply
    1,278.06x = 1,917.11 × 584.70
  4. Step 4: Simplify right side
    1,278.06x = 1,120,934.22
  5. Step 5: Solve for x
    x = 1,120,934.22/1,278.06
  6. Step 6: Final answer
    x = 877.06

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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.