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Finding the Fourth Proportional to 1,096.84, 1,646.07 and 686.17

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Solution

The fourth proportional to 1,096.84, 1,646.07 and 686.17 is: 1,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.84 : 1,646.07 = 686.17 : x
  2. Step 2: Convert to fraction form
    1,096.84/1,646.07 = 686.17/x
  3. Step 3: Cross multiply
    1,096.84x = 1,646.07 × 686.17
  4. Step 4: Simplify right side
    1,096.84x = 1,129,483.85
  5. Step 5: Solve for x
    x = 1,129,483.85/1,096.84
  6. Step 6: Final answer
    x = 1,029.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.