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Finding the Fourth Proportional to 1,530.62, 2,296 and 556.68

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Solution

The fourth proportional to 1,530.62, 2,296 and 556.68 is: 835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.62 : 2,296 = 556.68 : x
  2. Step 2: Convert to fraction form
    1,530.62/2,296 = 556.68/x
  3. Step 3: Cross multiply
    1,530.62x = 2,296 × 556.68
  4. Step 4: Simplify right side
    1,530.62x = 1,278,137.28
  5. Step 5: Solve for x
    x = 1,278,137.28/1,530.62
  6. Step 6: Final answer
    x = 835.05

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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.