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Finding the Fourth Proportional to 852.94, 1,276.98 and 784.90

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Solution

The fourth proportional to 852.94, 1,276.98 and 784.90 is: 1,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.94 : 1,276.98 = 784.90 : x
  2. Step 2: Convert to fraction form
    852.94/1,276.98 = 784.90/x
  3. Step 3: Cross multiply
    852.94x = 1,276.98 × 784.90
  4. Step 4: Simplify right side
    852.94x = 1,002,301.60
  5. Step 5: Solve for x
    x = 1,002,301.60/852.94
  6. Step 6: Final answer
    x = 1,175.11

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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.