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Finding the Fourth Proportional to 965.88, 1,448.49 and 410.22

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Solution

The fourth proportional to 965.88, 1,448.49 and 410.22 is: 615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.88 : 1,448.49 = 410.22 : x
  2. Step 2: Convert to fraction form
    965.88/1,448.49 = 410.22/x
  3. Step 3: Cross multiply
    965.88x = 1,448.49 × 410.22
  4. Step 4: Simplify right side
    965.88x = 594,199.57
  5. Step 5: Solve for x
    x = 594,199.57/965.88
  6. Step 6: Final answer
    x = 615.19

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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.