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Finding the Fourth Proportional to 913.23, 1,371.65 and 783.18

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Solution

The fourth proportional to 913.23, 1,371.65 and 783.18 is: 1,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.23 : 1,371.65 = 783.18 : x
  2. Step 2: Convert to fraction form
    913.23/1,371.65 = 783.18/x
  3. Step 3: Cross multiply
    913.23x = 1,371.65 × 783.18
  4. Step 4: Simplify right side
    913.23x = 1,074,244.93
  5. Step 5: Solve for x
    x = 1,074,244.93/913.23
  6. Step 6: Final answer
    x = 1,176.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.