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Finding the Fourth Proportional to 852.19, 1,278.74 and 790.23

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Solution

The fourth proportional to 852.19, 1,278.74 and 790.23 is: 1,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.19 : 1,278.74 = 790.23 : x
  2. Step 2: Convert to fraction form
    852.19/1,278.74 = 790.23/x
  3. Step 3: Cross multiply
    852.19x = 1,278.74 × 790.23
  4. Step 4: Simplify right side
    852.19x = 1,010,498.71
  5. Step 5: Solve for x
    x = 1,010,498.71/852.19
  6. Step 6: Final answer
    x = 1,185.77

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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.