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Finding the Fourth Proportional to 913.72, 1,360.99 and 871.64

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Solution

The fourth proportional to 913.72, 1,360.99 and 871.64 is: 1,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.72 : 1,360.99 = 871.64 : x
  2. Step 2: Convert to fraction form
    913.72/1,360.99 = 871.64/x
  3. Step 3: Cross multiply
    913.72x = 1,360.99 × 871.64
  4. Step 4: Simplify right side
    913.72x = 1,186,293.32
  5. Step 5: Solve for x
    x = 1,186,293.32/913.72
  6. Step 6: Final answer
    x = 1,298.31

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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.