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Finding the Fourth Proportional to 1,563.29, 2,157.35 and 864.67

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Solution

The fourth proportional to 1,563.29, 2,157.35 and 864.67 is: 1,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.29 : 2,157.35 = 864.67 : x
  2. Step 2: Convert to fraction form
    1,563.29/2,157.35 = 864.67/x
  3. Step 3: Cross multiply
    1,563.29x = 2,157.35 × 864.67
  4. Step 4: Simplify right side
    1,563.29x = 1,865,395.02
  5. Step 5: Solve for x
    x = 1,865,395.02/1,563.29
  6. Step 6: Final answer
    x = 1,193.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.