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Finding the Fourth Proportional to 1,698.44, 2,547.95 and 724.61

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Solution

The fourth proportional to 1,698.44, 2,547.95 and 724.61 is: 1,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.44 : 2,547.95 = 724.61 : x
  2. Step 2: Convert to fraction form
    1,698.44/2,547.95 = 724.61/x
  3. Step 3: Cross multiply
    1,698.44x = 2,547.95 × 724.61
  4. Step 4: Simplify right side
    1,698.44x = 1,846,253.69
  5. Step 5: Solve for x
    x = 1,846,253.69/1,698.44
  6. Step 6: Final answer
    x = 1,087.03

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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.