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Finding the Fourth Proportional to 1,754.24, 2,631.36 and 521.66

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Solution

The fourth proportional to 1,754.24, 2,631.36 and 521.66 is: 782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.24 : 2,631.36 = 521.66 : x
  2. Step 2: Convert to fraction form
    1,754.24/2,631.36 = 521.66/x
  3. Step 3: Cross multiply
    1,754.24x = 2,631.36 × 521.66
  4. Step 4: Simplify right side
    1,754.24x = 1,372,670.99
  5. Step 5: Solve for x
    x = 1,372,670.99/1,754.24
  6. Step 6: Final answer
    x = 782.49

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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.