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Finding the Fourth Proportional to 1,423.97, 1,965.25 and 864.58

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Solution

The fourth proportional to 1,423.97, 1,965.25 and 864.58 is: 1,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.97 : 1,965.25 = 864.58 : x
  2. Step 2: Convert to fraction form
    1,423.97/1,965.25 = 864.58/x
  3. Step 3: Cross multiply
    1,423.97x = 1,965.25 × 864.58
  4. Step 4: Simplify right side
    1,423.97x = 1,699,118.60
  5. Step 5: Solve for x
    x = 1,699,118.60/1,423.97
  6. Step 6: Final answer
    x = 1,193.23

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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.