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Finding the Fourth Proportional to 1,680.72, 2,521.10 and 585.09

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Solution

The fourth proportional to 1,680.72, 2,521.10 and 585.09 is: 877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.72 : 2,521.10 = 585.09 : x
  2. Step 2: Convert to fraction form
    1,680.72/2,521.10 = 585.09/x
  3. Step 3: Cross multiply
    1,680.72x = 2,521.10 × 585.09
  4. Step 4: Simplify right side
    1,680.72x = 1,475,067.47
  5. Step 5: Solve for x
    x = 1,475,067.47/1,680.72
  6. Step 6: Final answer
    x = 877.64

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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.