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Finding the Fourth Proportional to 961.41, 1,434.64 and 852.06

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Solution

The fourth proportional to 961.41, 1,434.64 and 852.06 is: 1,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.41 : 1,434.64 = 852.06 : x
  2. Step 2: Convert to fraction form
    961.41/1,434.64 = 852.06/x
  3. Step 3: Cross multiply
    961.41x = 1,434.64 × 852.06
  4. Step 4: Simplify right side
    961.41x = 1,222,397.23
  5. Step 5: Solve for x
    x = 1,222,397.23/961.41
  6. Step 6: Final answer
    x = 1,271.46

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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.