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Finding the Fourth Proportional to 1,680.62, 2,521.29 and 570.14

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Solution

The fourth proportional to 1,680.62, 2,521.29 and 570.14 is: 855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.62 : 2,521.29 = 570.14 : x
  2. Step 2: Convert to fraction form
    1,680.62/2,521.29 = 570.14/x
  3. Step 3: Cross multiply
    1,680.62x = 2,521.29 × 570.14
  4. Step 4: Simplify right side
    1,680.62x = 1,437,488.28
  5. Step 5: Solve for x
    x = 1,437,488.28/1,680.62
  6. Step 6: Final answer
    x = 855.33

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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.