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Finding the Fourth Proportional to 780.82, 1,172.03 and 526.10

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Solution

The fourth proportional to 780.82, 1,172.03 and 526.10 is: 789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.82 : 1,172.03 = 526.10 : x
  2. Step 2: Convert to fraction form
    780.82/1,172.03 = 526.10/x
  3. Step 3: Cross multiply
    780.82x = 1,172.03 × 526.10
  4. Step 4: Simplify right side
    780.82x = 616,604.98
  5. Step 5: Solve for x
    x = 616,604.98/780.82
  6. Step 6: Final answer
    x = 789.69

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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.