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Finding the Fourth Proportional to 1,095.84, 1,514.32 and 864.80

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Solution

The fourth proportional to 1,095.84, 1,514.32 and 864.80 is: 1,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.84 : 1,514.32 = 864.80 : x
  2. Step 2: Convert to fraction form
    1,095.84/1,514.32 = 864.80/x
  3. Step 3: Cross multiply
    1,095.84x = 1,514.32 × 864.80
  4. Step 4: Simplify right side
    1,095.84x = 1,309,583.94
  5. Step 5: Solve for x
    x = 1,309,583.94/1,095.84
  6. Step 6: Final answer
    x = 1,195.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.