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Finding the Fourth Proportional to 913.51, 1,371.21 and 810.07

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Solution

The fourth proportional to 913.51, 1,371.21 and 810.07 is: 1,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.51 : 1,371.21 = 810.07 : x
  2. Step 2: Convert to fraction form
    913.51/1,371.21 = 810.07/x
  3. Step 3: Cross multiply
    913.51x = 1,371.21 × 810.07
  4. Step 4: Simplify right side
    913.51x = 1,110,776.08
  5. Step 5: Solve for x
    x = 1,110,776.08/913.51
  6. Step 6: Final answer
    x = 1,215.94

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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.