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Finding the Fourth Proportional to 1,106.24, 1,659.73 and 521.68

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Solution

The fourth proportional to 1,106.24, 1,659.73 and 521.68 is: 782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.24 : 1,659.73 = 521.68 : x
  2. Step 2: Convert to fraction form
    1,106.24/1,659.73 = 521.68/x
  3. Step 3: Cross multiply
    1,106.24x = 1,659.73 × 521.68
  4. Step 4: Simplify right side
    1,106.24x = 865,850.52
  5. Step 5: Solve for x
    x = 865,850.52/1,106.24
  6. Step 6: Final answer
    x = 782.70

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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.