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Finding the Fourth Proportional to 1,239.34, 1,857.28 and 580.51

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Solution

The fourth proportional to 1,239.34, 1,857.28 and 580.51 is: 869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.34 : 1,857.28 = 580.51 : x
  2. Step 2: Convert to fraction form
    1,239.34/1,857.28 = 580.51/x
  3. Step 3: Cross multiply
    1,239.34x = 1,857.28 × 580.51
  4. Step 4: Simplify right side
    1,239.34x = 1,078,169.61
  5. Step 5: Solve for x
    x = 1,078,169.61/1,239.34
  6. Step 6: Final answer
    x = 869.95

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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.