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Finding the Fourth Proportional to 1,370.82, 2,056.05 and 591

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Solution

The fourth proportional to 1,370.82, 2,056.05 and 591 is: 886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.82 : 2,056.05 = 591 : x
  2. Step 2: Convert to fraction form
    1,370.82/2,056.05 = 591/x
  3. Step 3: Cross multiply
    1,370.82x = 2,056.05 × 591
  4. Step 4: Simplify right side
    1,370.82x = 1,215,125.55
  5. Step 5: Solve for x
    x = 1,215,125.55/1,370.82
  6. Step 6: Final answer
    x = 886.42

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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.