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Finding the Fourth Proportional to 852.61, 1,280.46 and 784.01

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Solution

The fourth proportional to 852.61, 1,280.46 and 784.01 is: 1,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.61 : 1,280.46 = 784.01 : x
  2. Step 2: Convert to fraction form
    852.61/1,280.46 = 784.01/x
  3. Step 3: Cross multiply
    852.61x = 1,280.46 × 784.01
  4. Step 4: Simplify right side
    852.61x = 1,003,893.44
  5. Step 5: Solve for x
    x = 1,003,893.44/852.61
  6. Step 6: Final answer
    x = 1,177.44

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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.