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Finding the Fourth Proportional to 1,530.72, 2,296.08 and 664.56

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Solution

The fourth proportional to 1,530.72, 2,296.08 and 664.56 is: 996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.72 : 2,296.08 = 664.56 : x
  2. Step 2: Convert to fraction form
    1,530.72/2,296.08 = 664.56/x
  3. Step 3: Cross multiply
    1,530.72x = 2,296.08 × 664.56
  4. Step 4: Simplify right side
    1,530.72x = 1,525,882.92
  5. Step 5: Solve for x
    x = 1,525,882.92/1,530.72
  6. Step 6: Final answer
    x = 996.84

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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.