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Finding the Fourth Proportional to 1,095.62, 1,514.69 and 847.76

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Solution

The fourth proportional to 1,095.62, 1,514.69 and 847.76 is: 1,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.62 : 1,514.69 = 847.76 : x
  2. Step 2: Convert to fraction form
    1,095.62/1,514.69 = 847.76/x
  3. Step 3: Cross multiply
    1,095.62x = 1,514.69 × 847.76
  4. Step 4: Simplify right side
    1,095.62x = 1,284,081.78
  5. Step 5: Solve for x
    x = 1,284,081.78/1,095.62
  6. Step 6: Final answer
    x = 1,172.02

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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.