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Finding the Fourth Proportional to 1,708.09, 2,560.82 and 782.98

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Solution

The fourth proportional to 1,708.09, 2,560.82 and 782.98 is: 1,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.09 : 2,560.82 = 782.98 : x
  2. Step 2: Convert to fraction form
    1,708.09/2,560.82 = 782.98/x
  3. Step 3: Cross multiply
    1,708.09x = 2,560.82 × 782.98
  4. Step 4: Simplify right side
    1,708.09x = 2,005,060.53
  5. Step 5: Solve for x
    x = 2,005,060.53/1,708.09
  6. Step 6: Final answer
    x = 1,173.86

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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.