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Finding the Fourth Proportional to 1,530.78, 2,296.17 and 504.78

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Solution

The fourth proportional to 1,530.78, 2,296.17 and 504.78 is: 757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.78 : 2,296.17 = 504.78 : x
  2. Step 2: Convert to fraction form
    1,530.78/2,296.17 = 504.78/x
  3. Step 3: Cross multiply
    1,530.78x = 2,296.17 × 504.78
  4. Step 4: Simplify right side
    1,530.78x = 1,159,060.69
  5. Step 5: Solve for x
    x = 1,159,060.69/1,530.78
  6. Step 6: Final answer
    x = 757.17

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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.