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Finding the Fourth Proportional to 1,403.42, 1,935.86 and 905.28

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Solution

The fourth proportional to 1,403.42, 1,935.86 and 905.28 is: 1,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.42 : 1,935.86 = 905.28 : x
  2. Step 2: Convert to fraction form
    1,403.42/1,935.86 = 905.28/x
  3. Step 3: Cross multiply
    1,403.42x = 1,935.86 × 905.28
  4. Step 4: Simplify right side
    1,403.42x = 1,752,495.34
  5. Step 5: Solve for x
    x = 1,752,495.34/1,403.42
  6. Step 6: Final answer
    x = 1,248.73

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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.