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Finding the Fourth Proportional to 1,414.71, 1,953.47 and 918.20

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Solution

The fourth proportional to 1,414.71, 1,953.47 and 918.20 is: 1,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.71 : 1,953.47 = 918.20 : x
  2. Step 2: Convert to fraction form
    1,414.71/1,953.47 = 918.20/x
  3. Step 3: Cross multiply
    1,414.71x = 1,953.47 × 918.20
  4. Step 4: Simplify right side
    1,414.71x = 1,793,676.45
  5. Step 5: Solve for x
    x = 1,793,676.45/1,414.71
  6. Step 6: Final answer
    x = 1,267.88

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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.