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Finding the Fourth Proportional to 1,371.39, 2,055.74 and 591.57

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Solution

The fourth proportional to 1,371.39, 2,055.74 and 591.57 is: 886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.39 : 2,055.74 = 591.57 : x
  2. Step 2: Convert to fraction form
    1,371.39/2,055.74 = 591.57/x
  3. Step 3: Cross multiply
    1,371.39x = 2,055.74 × 591.57
  4. Step 4: Simplify right side
    1,371.39x = 1,216,111.15
  5. Step 5: Solve for x
    x = 1,216,111.15/1,371.39
  6. Step 6: Final answer
    x = 886.77

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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.