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Finding the Fourth Proportional to 1,285.65, 1,928.31 and 554.62

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Solution

The fourth proportional to 1,285.65, 1,928.31 and 554.62 is: 831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.65 : 1,928.31 = 554.62 : x
  2. Step 2: Convert to fraction form
    1,285.65/1,928.31 = 554.62/x
  3. Step 3: Cross multiply
    1,285.65x = 1,928.31 × 554.62
  4. Step 4: Simplify right side
    1,285.65x = 1,069,479.29
  5. Step 5: Solve for x
    x = 1,069,479.29/1,285.65
  6. Step 6: Final answer
    x = 831.86

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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.