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Finding the Fourth Proportional to 959.49, 1,324.75 and 735.03

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Solution

The fourth proportional to 959.49, 1,324.75 and 735.03 is: 1,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.49 : 1,324.75 = 735.03 : x
  2. Step 2: Convert to fraction form
    959.49/1,324.75 = 735.03/x
  3. Step 3: Cross multiply
    959.49x = 1,324.75 × 735.03
  4. Step 4: Simplify right side
    959.49x = 973,730.99
  5. Step 5: Solve for x
    x = 973,730.99/959.49
  6. Step 6: Final answer
    x = 1,014.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.