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Finding the Fourth Proportional to 1,038.32, 1,559.07 and 629.27

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Solution

The fourth proportional to 1,038.32, 1,559.07 and 629.27 is: 944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.32 : 1,559.07 = 629.27 : x
  2. Step 2: Convert to fraction form
    1,038.32/1,559.07 = 629.27/x
  3. Step 3: Cross multiply
    1,038.32x = 1,559.07 × 629.27
  4. Step 4: Simplify right side
    1,038.32x = 981,068.18
  5. Step 5: Solve for x
    x = 981,068.18/1,038.32
  6. Step 6: Final answer
    x = 944.87

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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.