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Finding the Fourth Proportional to 913.59, 1,259.73 and 747.27

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Solution

The fourth proportional to 913.59, 1,259.73 and 747.27 is: 1,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.59 : 1,259.73 = 747.27 : x
  2. Step 2: Convert to fraction form
    913.59/1,259.73 = 747.27/x
  3. Step 3: Cross multiply
    913.59x = 1,259.73 × 747.27
  4. Step 4: Simplify right side
    913.59x = 941,358.44
  5. Step 5: Solve for x
    x = 941,358.44/913.59
  6. Step 6: Final answer
    x = 1,030.39

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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.