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Finding the Fourth Proportional to 1,698.54, 2,548.18 and 711.40

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Solution

The fourth proportional to 1,698.54, 2,548.18 and 711.40 is: 1,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.54 : 2,548.18 = 711.40 : x
  2. Step 2: Convert to fraction form
    1,698.54/2,548.18 = 711.40/x
  3. Step 3: Cross multiply
    1,698.54x = 2,548.18 × 711.40
  4. Step 4: Simplify right side
    1,698.54x = 1,812,775.25
  5. Step 5: Solve for x
    x = 1,812,775.25/1,698.54
  6. Step 6: Final answer
    x = 1,067.25

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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.