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Finding the Fourth Proportional to 1,000.91, 1,496.43 and 848.54

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Solution

The fourth proportional to 1,000.91, 1,496.43 and 848.54 is: 1,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.91 : 1,496.43 = 848.54 : x
  2. Step 2: Convert to fraction form
    1,000.91/1,496.43 = 848.54/x
  3. Step 3: Cross multiply
    1,000.91x = 1,496.43 × 848.54
  4. Step 4: Simplify right side
    1,000.91x = 1,269,780.71
  5. Step 5: Solve for x
    x = 1,269,780.71/1,000.91
  6. Step 6: Final answer
    x = 1,268.63

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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.