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Finding the Fourth Proportional to 1,285.83, 1,927.13 and 976.75

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Solution

The fourth proportional to 1,285.83, 1,927.13 and 976.75 is: 1,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.83 : 1,927.13 = 976.75 : x
  2. Step 2: Convert to fraction form
    1,285.83/1,927.13 = 976.75/x
  3. Step 3: Cross multiply
    1,285.83x = 1,927.13 × 976.75
  4. Step 4: Simplify right side
    1,285.83x = 1,882,314.53
  5. Step 5: Solve for x
    x = 1,882,314.53/1,285.83
  6. Step 6: Final answer
    x = 1,463.89

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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.