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Finding the Fourth Proportional to 1,705.74, 2,559.24 and 883.48

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Solution

The fourth proportional to 1,705.74, 2,559.24 and 883.48 is: 1,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.74 : 2,559.24 = 883.48 : x
  2. Step 2: Convert to fraction form
    1,705.74/2,559.24 = 883.48/x
  3. Step 3: Cross multiply
    1,705.74x = 2,559.24 × 883.48
  4. Step 4: Simplify right side
    1,705.74x = 2,261,037.36
  5. Step 5: Solve for x
    x = 2,261,037.36/1,705.74
  6. Step 6: Final answer
    x = 1,325.55

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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.