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Finding the Fourth Proportional to 913.34, 1,259.75 and 633.59

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Solution

The fourth proportional to 913.34, 1,259.75 and 633.59 is: 873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.34 : 1,259.75 = 633.59 : x
  2. Step 2: Convert to fraction form
    913.34/1,259.75 = 633.59/x
  3. Step 3: Cross multiply
    913.34x = 1,259.75 × 633.59
  4. Step 4: Simplify right side
    913.34x = 798,165.00
  5. Step 5: Solve for x
    x = 798,165.00/913.34
  6. Step 6: Final answer
    x = 873.90

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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.