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Finding the Fourth Proportional to 1,200.26, 1,657.15 and 775.66

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Solution

The fourth proportional to 1,200.26, 1,657.15 and 775.66 is: 1,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.26 : 1,657.15 = 775.66 : x
  2. Step 2: Convert to fraction form
    1,200.26/1,657.15 = 775.66/x
  3. Step 3: Cross multiply
    1,200.26x = 1,657.15 × 775.66
  4. Step 4: Simplify right side
    1,200.26x = 1,285,384.97
  5. Step 5: Solve for x
    x = 1,285,384.97/1,200.26
  6. Step 6: Final answer
    x = 1,070.92

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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.