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Finding the Fourth Proportional to 1,327.04, 1,989.36 and 557.12

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Solution

The fourth proportional to 1,327.04, 1,989.36 and 557.12 is: 835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.04 : 1,989.36 = 557.12 : x
  2. Step 2: Convert to fraction form
    1,327.04/1,989.36 = 557.12/x
  3. Step 3: Cross multiply
    1,327.04x = 1,989.36 × 557.12
  4. Step 4: Simplify right side
    1,327.04x = 1,108,312.24
  5. Step 5: Solve for x
    x = 1,108,312.24/1,327.04
  6. Step 6: Final answer
    x = 835.18

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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.