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Finding the Fourth Proportional to 1,095.78, 1,511.66 and 741.83

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Solution

The fourth proportional to 1,095.78, 1,511.66 and 741.83 is: 1,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.78 : 1,511.66 = 741.83 : x
  2. Step 2: Convert to fraction form
    1,095.78/1,511.66 = 741.83/x
  3. Step 3: Cross multiply
    1,095.78x = 1,511.66 × 741.83
  4. Step 4: Simplify right side
    1,095.78x = 1,121,394.74
  5. Step 5: Solve for x
    x = 1,121,394.74/1,095.78
  6. Step 6: Final answer
    x = 1,023.38

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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.