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Finding the Fourth Proportional to 1,372.28, 1,893.51 and 782.87

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Solution

The fourth proportional to 1,372.28, 1,893.51 and 782.87 is: 1,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.28 : 1,893.51 = 782.87 : x
  2. Step 2: Convert to fraction form
    1,372.28/1,893.51 = 782.87/x
  3. Step 3: Cross multiply
    1,372.28x = 1,893.51 × 782.87
  4. Step 4: Simplify right side
    1,372.28x = 1,482,362.71
  5. Step 5: Solve for x
    x = 1,482,362.71/1,372.28
  6. Step 6: Final answer
    x = 1,080.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.