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Finding the Fourth Proportional to 913.72, 1,259.54 and 716.89

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Solution

The fourth proportional to 913.72, 1,259.54 and 716.89 is: 988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.72 : 1,259.54 = 716.89 : x
  2. Step 2: Convert to fraction form
    913.72/1,259.54 = 716.89/x
  3. Step 3: Cross multiply
    913.72x = 1,259.54 × 716.89
  4. Step 4: Simplify right side
    913.72x = 902,951.63
  5. Step 5: Solve for x
    x = 902,951.63/913.72
  6. Step 6: Final answer
    x = 988.21

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Why These Related Problems?

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