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Finding the Fourth Proportional to 1,580.84, 2,371.31 and 485.31

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Solution

The fourth proportional to 1,580.84, 2,371.31 and 485.31 is: 727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.84 : 2,371.31 = 485.31 : x
  2. Step 2: Convert to fraction form
    1,580.84/2,371.31 = 485.31/x
  3. Step 3: Cross multiply
    1,580.84x = 2,371.31 × 485.31
  4. Step 4: Simplify right side
    1,580.84x = 1,150,818.03
  5. Step 5: Solve for x
    x = 1,150,818.03/1,580.84
  6. Step 6: Final answer
    x = 727.98

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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.