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Finding the Fourth Proportional to 1,705.70, 2,558.55 and 610.10

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Solution

The fourth proportional to 1,705.70, 2,558.55 and 610.10 is: 915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.70 : 2,558.55 = 610.10 : x
  2. Step 2: Convert to fraction form
    1,705.70/2,558.55 = 610.10/x
  3. Step 3: Cross multiply
    1,705.70x = 2,558.55 × 610.10
  4. Step 4: Simplify right side
    1,705.70x = 1,560,971.36
  5. Step 5: Solve for x
    x = 1,560,971.36/1,705.70
  6. Step 6: Final answer
    x = 915.15

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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.