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Finding the Fourth Proportional to 1,371.43, 2,056.47 and 591.31

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Solution

The fourth proportional to 1,371.43, 2,056.47 and 591.31 is: 886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.43 : 2,056.47 = 591.31 : x
  2. Step 2: Convert to fraction form
    1,371.43/2,056.47 = 591.31/x
  3. Step 3: Cross multiply
    1,371.43x = 2,056.47 × 591.31
  4. Step 4: Simplify right side
    1,371.43x = 1,216,011.28
  5. Step 5: Solve for x
    x = 1,216,011.28/1,371.43
  6. Step 6: Final answer
    x = 886.67

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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.