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Finding the Fourth Proportional to 945.73, 1,409.01 and 899.27

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Solution

The fourth proportional to 945.73, 1,409.01 and 899.27 is: 1,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.73 : 1,409.01 = 899.27 : x
  2. Step 2: Convert to fraction form
    945.73/1,409.01 = 899.27/x
  3. Step 3: Cross multiply
    945.73x = 1,409.01 × 899.27
  4. Step 4: Simplify right side
    945.73x = 1,267,080.42
  5. Step 5: Solve for x
    x = 1,267,080.42/945.73
  6. Step 6: Final answer
    x = 1,339.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.