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Finding the Fourth Proportional to 1,411.08, 1,947.30 and 790.12

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Solution

The fourth proportional to 1,411.08, 1,947.30 and 790.12 is: 1,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.08 : 1,947.30 = 790.12 : x
  2. Step 2: Convert to fraction form
    1,411.08/1,947.30 = 790.12/x
  3. Step 3: Cross multiply
    1,411.08x = 1,947.30 × 790.12
  4. Step 4: Simplify right side
    1,411.08x = 1,538,600.68
  5. Step 5: Solve for x
    x = 1,538,600.68/1,411.08
  6. Step 6: Final answer
    x = 1,090.37

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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.