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Finding the Fourth Proportional to 1,563.64, 2,157.72 and 865

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Solution

The fourth proportional to 1,563.64, 2,157.72 and 865 is: 1,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.64 : 2,157.72 = 865 : x
  2. Step 2: Convert to fraction form
    1,563.64/2,157.72 = 865/x
  3. Step 3: Cross multiply
    1,563.64x = 2,157.72 × 865
  4. Step 4: Simplify right side
    1,563.64x = 1,866,427.80
  5. Step 5: Solve for x
    x = 1,866,427.80/1,563.64
  6. Step 6: Final answer
    x = 1,193.64

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Why These Related Problems?

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