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Finding the Fourth Proportional to 1,705.89, 2,558.66 and 610.23

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Solution

The fourth proportional to 1,705.89, 2,558.66 and 610.23 is: 915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.89 : 2,558.66 = 610.23 : x
  2. Step 2: Convert to fraction form
    1,705.89/2,558.66 = 610.23/x
  3. Step 3: Cross multiply
    1,705.89x = 2,558.66 × 610.23
  4. Step 4: Simplify right side
    1,705.89x = 1,561,368.04
  5. Step 5: Solve for x
    x = 1,561,368.04/1,705.89
  6. Step 6: Final answer
    x = 915.28

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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.