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Finding the Fourth Proportional to 1,411.24, 1,947.56 and 790.24

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Solution

The fourth proportional to 1,411.24, 1,947.56 and 790.24 is: 1,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.24 : 1,947.56 = 790.24 : x
  2. Step 2: Convert to fraction form
    1,411.24/1,947.56 = 790.24/x
  3. Step 3: Cross multiply
    1,411.24x = 1,947.56 × 790.24
  4. Step 4: Simplify right side
    1,411.24x = 1,539,039.81
  5. Step 5: Solve for x
    x = 1,539,039.81/1,411.24
  6. Step 6: Final answer
    x = 1,090.56

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