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Finding the Fourth Proportional to 1,043.80, 1,439.96 and 693.88

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Solution

The fourth proportional to 1,043.80, 1,439.96 and 693.88 is: 957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.80 : 1,439.96 = 693.88 : x
  2. Step 2: Convert to fraction form
    1,043.80/1,439.96 = 693.88/x
  3. Step 3: Cross multiply
    1,043.80x = 1,439.96 × 693.88
  4. Step 4: Simplify right side
    1,043.80x = 999,159.44
  5. Step 5: Solve for x
    x = 999,159.44/1,043.80
  6. Step 6: Final answer
    x = 957.23

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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.