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Finding the Fourth Proportional to 1,295.17, 1,786.16 and 869.96

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Solution

The fourth proportional to 1,295.17, 1,786.16 and 869.96 is: 1,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.17 : 1,786.16 = 869.96 : x
  2. Step 2: Convert to fraction form
    1,295.17/1,786.16 = 869.96/x
  3. Step 3: Cross multiply
    1,295.17x = 1,786.16 × 869.96
  4. Step 4: Simplify right side
    1,295.17x = 1,553,894.39
  5. Step 5: Solve for x
    x = 1,553,894.39/1,295.17
  6. Step 6: Final answer
    x = 1,199.76

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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.