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Finding the Fourth Proportional to 1,580.93, 2,371.38 and 656.46

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Solution

The fourth proportional to 1,580.93, 2,371.38 and 656.46 is: 984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.93 : 2,371.38 = 656.46 : x
  2. Step 2: Convert to fraction form
    1,580.93/2,371.38 = 656.46/x
  3. Step 3: Cross multiply
    1,580.93x = 2,371.38 × 656.46
  4. Step 4: Simplify right side
    1,580.93x = 1,556,716.11
  5. Step 5: Solve for x
    x = 1,556,716.11/1,580.93
  6. Step 6: Final answer
    x = 984.69

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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.