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Finding the Fourth Proportional to 959.52, 1,438.16 and 526.96

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Solution

The fourth proportional to 959.52, 1,438.16 and 526.96 is: 789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.52 : 1,438.16 = 526.96 : x
  2. Step 2: Convert to fraction form
    959.52/1,438.16 = 526.96/x
  3. Step 3: Cross multiply
    959.52x = 1,438.16 × 526.96
  4. Step 4: Simplify right side
    959.52x = 757,852.79
  5. Step 5: Solve for x
    x = 757,852.79/959.52
  6. Step 6: Final answer
    x = 789.82

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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.