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Finding the Fourth Proportional to 852.18, 1,277.59 and 783.84

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Solution

The fourth proportional to 852.18, 1,277.59 and 783.84 is: 1,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.18 : 1,277.59 = 783.84 : x
  2. Step 2: Convert to fraction form
    852.18/1,277.59 = 783.84/x
  3. Step 3: Cross multiply
    852.18x = 1,277.59 × 783.84
  4. Step 4: Simplify right side
    852.18x = 1,001,426.15
  5. Step 5: Solve for x
    x = 1,001,426.15/852.18
  6. Step 6: Final answer
    x = 1,175.13

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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.