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Finding the Fourth Proportional to 913.68, 1,365.65 and 795.64

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Solution

The fourth proportional to 913.68, 1,365.65 and 795.64 is: 1,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.68 : 1,365.65 = 795.64 : x
  2. Step 2: Convert to fraction form
    913.68/1,365.65 = 795.64/x
  3. Step 3: Cross multiply
    913.68x = 1,365.65 × 795.64
  4. Step 4: Simplify right side
    913.68x = 1,086,564.34
  5. Step 5: Solve for x
    x = 1,086,564.34/913.68
  6. Step 6: Final answer
    x = 1,189.22

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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.