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Finding the Fourth Proportional to 1,652.56, 2,478.90 and 556.96

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Solution

The fourth proportional to 1,652.56, 2,478.90 and 556.96 is: 835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.56 : 2,478.90 = 556.96 : x
  2. Step 2: Convert to fraction form
    1,652.56/2,478.90 = 556.96/x
  3. Step 3: Cross multiply
    1,652.56x = 2,478.90 × 556.96
  4. Step 4: Simplify right side
    1,652.56x = 1,380,648.14
  5. Step 5: Solve for x
    x = 1,380,648.14/1,652.56
  6. Step 6: Final answer
    x = 835.46

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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.