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Finding the Fourth Proportional to 1,038.56, 1,558.17 and 648

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Solution

The fourth proportional to 1,038.56, 1,558.17 and 648 is: 972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.56 : 1,558.17 = 648 : x
  2. Step 2: Convert to fraction form
    1,038.56/1,558.17 = 648/x
  3. Step 3: Cross multiply
    1,038.56x = 1,558.17 × 648
  4. Step 4: Simplify right side
    1,038.56x = 1,009,694.16
  5. Step 5: Solve for x
    x = 1,009,694.16/1,038.56
  6. Step 6: Final answer
    x = 972.21

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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.