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Finding the Fourth Proportional to 1,095.27, 1,509.88 and 832.83

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Solution

The fourth proportional to 1,095.27, 1,509.88 and 832.83 is: 1,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.27 : 1,509.88 = 832.83 : x
  2. Step 2: Convert to fraction form
    1,095.27/1,509.88 = 832.83/x
  3. Step 3: Cross multiply
    1,095.27x = 1,509.88 × 832.83
  4. Step 4: Simplify right side
    1,095.27x = 1,257,473.36
  5. Step 5: Solve for x
    x = 1,257,473.36/1,095.27
  6. Step 6: Final answer
    x = 1,148.09

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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.