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Finding the Fourth Proportional to 1,323.93, 1,986.57 and 594.03

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Solution

The fourth proportional to 1,323.93, 1,986.57 and 594.03 is: 891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.93 : 1,986.57 = 594.03 : x
  2. Step 2: Convert to fraction form
    1,323.93/1,986.57 = 594.03/x
  3. Step 3: Cross multiply
    1,323.93x = 1,986.57 × 594.03
  4. Step 4: Simplify right side
    1,323.93x = 1,180,082.18
  5. Step 5: Solve for x
    x = 1,180,082.18/1,323.93
  6. Step 6: Final answer
    x = 891.35

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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.