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Finding the Fourth Proportional to 1,285.27, 1,929 and 505.82

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Solution

The fourth proportional to 1,285.27, 1,929 and 505.82 is: 759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.27 : 1,929 = 505.82 : x
  2. Step 2: Convert to fraction form
    1,285.27/1,929 = 505.82/x
  3. Step 3: Cross multiply
    1,285.27x = 1,929 × 505.82
  4. Step 4: Simplify right side
    1,285.27x = 975,726.78
  5. Step 5: Solve for x
    x = 975,726.78/1,285.27
  6. Step 6: Final answer
    x = 759.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.