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Finding the Fourth Proportional to 1,024.68, 1,537.56 and 782.76

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Solution

The fourth proportional to 1,024.68, 1,537.56 and 782.76 is: 1,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.68 : 1,537.56 = 782.76 : x
  2. Step 2: Convert to fraction form
    1,024.68/1,537.56 = 782.76/x
  3. Step 3: Cross multiply
    1,024.68x = 1,537.56 × 782.76
  4. Step 4: Simplify right side
    1,024.68x = 1,203,540.47
  5. Step 5: Solve for x
    x = 1,203,540.47/1,024.68
  6. Step 6: Final answer
    x = 1,174.55

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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.