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Finding the Fourth Proportional to 959.53, 1,324.14 and 539.89

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Solution

The fourth proportional to 959.53, 1,324.14 and 539.89 is: 745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.53 : 1,324.14 = 539.89 : x
  2. Step 2: Convert to fraction form
    959.53/1,324.14 = 539.89/x
  3. Step 3: Cross multiply
    959.53x = 1,324.14 × 539.89
  4. Step 4: Simplify right side
    959.53x = 714,886.63
  5. Step 5: Solve for x
    x = 714,886.63/959.53
  6. Step 6: Final answer
    x = 745.04

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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.