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Finding the Fourth Proportional to 1,256.31, 1,882.24 and 524.27

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Solution

The fourth proportional to 1,256.31, 1,882.24 and 524.27 is: 785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.31 : 1,882.24 = 524.27 : x
  2. Step 2: Convert to fraction form
    1,256.31/1,882.24 = 524.27/x
  3. Step 3: Cross multiply
    1,256.31x = 1,882.24 × 524.27
  4. Step 4: Simplify right side
    1,256.31x = 986,805.36
  5. Step 5: Solve for x
    x = 986,805.36/1,256.31
  6. Step 6: Final answer
    x = 785.48

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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.