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Finding the Fourth Proportional to 1,580.56, 2,369.86 and 656.76

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Solution

The fourth proportional to 1,580.56, 2,369.86 and 656.76 is: 984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.56 : 2,369.86 = 656.76 : x
  2. Step 2: Convert to fraction form
    1,580.56/2,369.86 = 656.76/x
  3. Step 3: Cross multiply
    1,580.56x = 2,369.86 × 656.76
  4. Step 4: Simplify right side
    1,580.56x = 1,556,429.25
  5. Step 5: Solve for x
    x = 1,556,429.25/1,580.56
  6. Step 6: Final answer
    x = 984.73

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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.