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Finding the Fourth Proportional to 1,285.89, 1,928.84 and 555.48

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Solution

The fourth proportional to 1,285.89, 1,928.84 and 555.48 is: 833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.89 : 1,928.84 = 555.48 : x
  2. Step 2: Convert to fraction form
    1,285.89/1,928.84 = 555.48/x
  3. Step 3: Cross multiply
    1,285.89x = 1,928.84 × 555.48
  4. Step 4: Simplify right side
    1,285.89x = 1,071,429.27
  5. Step 5: Solve for x
    x = 1,071,429.27/1,285.89
  6. Step 6: Final answer
    x = 833.22

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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.