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Finding the Fourth Proportional to 1,366.58, 2,050.35 and 852.98

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Solution

The fourth proportional to 1,366.58, 2,050.35 and 852.98 is: 1,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.58 : 2,050.35 = 852.98 : x
  2. Step 2: Convert to fraction form
    1,366.58/2,050.35 = 852.98/x
  3. Step 3: Cross multiply
    1,366.58x = 2,050.35 × 852.98
  4. Step 4: Simplify right side
    1,366.58x = 1,748,907.54
  5. Step 5: Solve for x
    x = 1,748,907.54/1,366.58
  6. Step 6: Final answer
    x = 1,279.77

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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.