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Finding the Fourth Proportional to 945.07, 1,414.98 and 713.26

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Solution

The fourth proportional to 945.07, 1,414.98 and 713.26 is: 1,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.07 : 1,414.98 = 713.26 : x
  2. Step 2: Convert to fraction form
    945.07/1,414.98 = 713.26/x
  3. Step 3: Cross multiply
    945.07x = 1,414.98 × 713.26
  4. Step 4: Simplify right side
    945.07x = 1,009,248.63
  5. Step 5: Solve for x
    x = 1,009,248.63/945.07
  6. Step 6: Final answer
    x = 1,067.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.