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Finding the Fourth Proportional to 1,698.40, 2,548.76 and 724.76

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Solution

The fourth proportional to 1,698.40, 2,548.76 and 724.76 is: 1,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.40 : 2,548.76 = 724.76 : x
  2. Step 2: Convert to fraction form
    1,698.40/2,548.76 = 724.76/x
  3. Step 3: Cross multiply
    1,698.40x = 2,548.76 × 724.76
  4. Step 4: Simplify right side
    1,698.40x = 1,847,239.30
  5. Step 5: Solve for x
    x = 1,847,239.30/1,698.40
  6. Step 6: Final answer
    x = 1,087.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.