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Finding the Fourth Proportional to 1,096.88, 1,646.04 and 584.24

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Solution

The fourth proportional to 1,096.88, 1,646.04 and 584.24 is: 876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.88 : 1,646.04 = 584.24 : x
  2. Step 2: Convert to fraction form
    1,096.88/1,646.04 = 584.24/x
  3. Step 3: Cross multiply
    1,096.88x = 1,646.04 × 584.24
  4. Step 4: Simplify right side
    1,096.88x = 961,682.41
  5. Step 5: Solve for x
    x = 961,682.41/1,096.88
  6. Step 6: Final answer
    x = 876.74

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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.