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Finding the Fourth Proportional to 1,439.60, 1,985.58 and 935.58

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Solution

The fourth proportional to 1,439.60, 1,985.58 and 935.58 is: 1,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.60 : 1,985.58 = 935.58 : x
  2. Step 2: Convert to fraction form
    1,439.60/1,985.58 = 935.58/x
  3. Step 3: Cross multiply
    1,439.60x = 1,985.58 × 935.58
  4. Step 4: Simplify right side
    1,439.60x = 1,857,668.94
  5. Step 5: Solve for x
    x = 1,857,668.94/1,439.60
  6. Step 6: Final answer
    x = 1,290.41

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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.