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Finding the Fourth Proportional to 1,095.97, 1,512.15 and 623.87

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Solution

The fourth proportional to 1,095.97, 1,512.15 and 623.87 is: 860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.97 : 1,512.15 = 623.87 : x
  2. Step 2: Convert to fraction form
    1,095.97/1,512.15 = 623.87/x
  3. Step 3: Cross multiply
    1,095.97x = 1,512.15 × 623.87
  4. Step 4: Simplify right side
    1,095.97x = 943,385.02
  5. Step 5: Solve for x
    x = 943,385.02/1,095.97
  6. Step 6: Final answer
    x = 860.78

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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.