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Finding the Fourth Proportional to 1,095.45, 1,511.37 and 780.77

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Solution

The fourth proportional to 1,095.45, 1,511.37 and 780.77 is: 1,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.45 : 1,511.37 = 780.77 : x
  2. Step 2: Convert to fraction form
    1,095.45/1,511.37 = 780.77/x
  3. Step 3: Cross multiply
    1,095.45x = 1,511.37 × 780.77
  4. Step 4: Simplify right side
    1,095.45x = 1,180,032.35
  5. Step 5: Solve for x
    x = 1,180,032.35/1,095.45
  6. Step 6: Final answer
    x = 1,077.21

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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.