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Finding the Fourth Proportional to 1,580.51, 2,371.23 and 656.48

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Solution

The fourth proportional to 1,580.51, 2,371.23 and 656.48 is: 984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.51 : 2,371.23 = 656.48 : x
  2. Step 2: Convert to fraction form
    1,580.51/2,371.23 = 656.48/x
  3. Step 3: Cross multiply
    1,580.51x = 2,371.23 × 656.48
  4. Step 4: Simplify right side
    1,580.51x = 1,556,665.07
  5. Step 5: Solve for x
    x = 1,556,665.07/1,580.51
  6. Step 6: Final answer
    x = 984.91

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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.