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Finding the Fourth Proportional to 1,039.31, 1,558.15 and 653.75

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Solution

The fourth proportional to 1,039.31, 1,558.15 and 653.75 is: 980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.31 : 1,558.15 = 653.75 : x
  2. Step 2: Convert to fraction form
    1,039.31/1,558.15 = 653.75/x
  3. Step 3: Cross multiply
    1,039.31x = 1,558.15 × 653.75
  4. Step 4: Simplify right side
    1,039.31x = 1,018,640.56
  5. Step 5: Solve for x
    x = 1,018,640.56/1,039.31
  6. Step 6: Final answer
    x = 980.11

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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.