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Finding the Fourth Proportional to 1,705.78, 2,559.13 and 610.23

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Solution

The fourth proportional to 1,705.78, 2,559.13 and 610.23 is: 915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.78 : 2,559.13 = 610.23 : x
  2. Step 2: Convert to fraction form
    1,705.78/2,559.13 = 610.23/x
  3. Step 3: Cross multiply
    1,705.78x = 2,559.13 × 610.23
  4. Step 4: Simplify right side
    1,705.78x = 1,561,657.90
  5. Step 5: Solve for x
    x = 1,561,657.90/1,705.78
  6. Step 6: Final answer
    x = 915.51

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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.