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Finding the Fourth Proportional to 1,252.65, 1,878.67 and 521.83

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Solution

The fourth proportional to 1,252.65, 1,878.67 and 521.83 is: 782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.65 : 1,878.67 = 521.83 : x
  2. Step 2: Convert to fraction form
    1,252.65/1,878.67 = 521.83/x
  3. Step 3: Cross multiply
    1,252.65x = 1,878.67 × 521.83
  4. Step 4: Simplify right side
    1,252.65x = 980,346.37
  5. Step 5: Solve for x
    x = 980,346.37/1,252.65
  6. Step 6: Final answer
    x = 782.62

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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.