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Finding the Fourth Proportional to 851.68, 1,276.24 and 508.64

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Solution

The fourth proportional to 851.68, 1,276.24 and 508.64 is: 762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.68 : 1,276.24 = 508.64 : x
  2. Step 2: Convert to fraction form
    851.68/1,276.24 = 508.64/x
  3. Step 3: Cross multiply
    851.68x = 1,276.24 × 508.64
  4. Step 4: Simplify right side
    851.68x = 649,146.71
  5. Step 5: Solve for x
    x = 649,146.71/851.68
  6. Step 6: Final answer
    x = 762.20

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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.