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Finding the Fourth Proportional to 851.65, 1,276.54 and 485.63

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Solution

The fourth proportional to 851.65, 1,276.54 and 485.63 is: 727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.65 : 1,276.54 = 485.63 : x
  2. Step 2: Convert to fraction form
    851.65/1,276.54 = 485.63/x
  3. Step 3: Cross multiply
    851.65x = 1,276.54 × 485.63
  4. Step 4: Simplify right side
    851.65x = 619,926.12
  5. Step 5: Solve for x
    x = 619,926.12/851.65
  6. Step 6: Final answer
    x = 727.91

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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.