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Finding the Fourth Proportional to 1,024.83, 1,537.02 and 634.82

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Solution

The fourth proportional to 1,024.83, 1,537.02 and 634.82 is: 952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.83 : 1,537.02 = 634.82 : x
  2. Step 2: Convert to fraction form
    1,024.83/1,537.02 = 634.82/x
  3. Step 3: Cross multiply
    1,024.83x = 1,537.02 × 634.82
  4. Step 4: Simplify right side
    1,024.83x = 975,723.35
  5. Step 5: Solve for x
    x = 975,723.35/1,024.83
  6. Step 6: Final answer
    x = 952.08

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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.