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Finding the Fourth Proportional to 959.80, 1,440.12 and 526.36

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Solution

The fourth proportional to 959.80, 1,440.12 and 526.36 is: 789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.80 : 1,440.12 = 526.36 : x
  2. Step 2: Convert to fraction form
    959.80/1,440.12 = 526.36/x
  3. Step 3: Cross multiply
    959.80x = 1,440.12 × 526.36
  4. Step 4: Simplify right side
    959.80x = 758,021.56
  5. Step 5: Solve for x
    x = 758,021.56/959.80
  6. Step 6: Final answer
    x = 789.77

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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.