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Finding the Fourth Proportional to 1,327.04, 1,989.44 and 586.53

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Solution

The fourth proportional to 1,327.04, 1,989.44 and 586.53 is: 879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.04 : 1,989.44 = 586.53 : x
  2. Step 2: Convert to fraction form
    1,327.04/1,989.44 = 586.53/x
  3. Step 3: Cross multiply
    1,327.04x = 1,989.44 × 586.53
  4. Step 4: Simplify right side
    1,327.04x = 1,166,868.81
  5. Step 5: Solve for x
    x = 1,166,868.81/1,327.04
  6. Step 6: Final answer
    x = 879.30

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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.