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Finding the Fourth Proportional to 1,285.89, 1,929.69 and 555.54

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Solution

The fourth proportional to 1,285.89, 1,929.69 and 555.54 is: 833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.89 : 1,929.69 = 555.54 : x
  2. Step 2: Convert to fraction form
    1,285.89/1,929.69 = 555.54/x
  3. Step 3: Cross multiply
    1,285.89x = 1,929.69 × 555.54
  4. Step 4: Simplify right side
    1,285.89x = 1,072,019.98
  5. Step 5: Solve for x
    x = 1,072,019.98/1,285.89
  6. Step 6: Final answer
    x = 833.68

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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.