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Finding the Fourth Proportional to 852.19, 1,277.60 and 783.85

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Solution

The fourth proportional to 852.19, 1,277.60 and 783.85 is: 1,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.19 : 1,277.60 = 783.85 : x
  2. Step 2: Convert to fraction form
    852.19/1,277.60 = 783.85/x
  3. Step 3: Cross multiply
    852.19x = 1,277.60 × 783.85
  4. Step 4: Simplify right side
    852.19x = 1,001,436.45
  5. Step 5: Solve for x
    x = 1,001,436.45/852.19
  6. Step 6: Final answer
    x = 1,175.14

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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.