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Finding the Fourth Proportional to 1,000.20, 1,490.25 and 944.31

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Solution

The fourth proportional to 1,000.20, 1,490.25 and 944.31 is: 1,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.20 : 1,490.25 = 944.31 : x
  2. Step 2: Convert to fraction form
    1,000.20/1,490.25 = 944.31/x
  3. Step 3: Cross multiply
    1,000.20x = 1,490.25 × 944.31
  4. Step 4: Simplify right side
    1,000.20x = 1,407,259.34
  5. Step 5: Solve for x
    x = 1,407,259.34/1,000.20
  6. Step 6: Final answer
    x = 1,406.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.