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Finding the Fourth Proportional to 842.68, 1,264.16 and 477.64

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Solution

The fourth proportional to 842.68, 1,264.16 and 477.64 is: 716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.68 : 1,264.16 = 477.64 : x
  2. Step 2: Convert to fraction form
    842.68/1,264.16 = 477.64/x
  3. Step 3: Cross multiply
    842.68x = 1,264.16 × 477.64
  4. Step 4: Simplify right side
    842.68x = 603,813.47
  5. Step 5: Solve for x
    x = 603,813.47/842.68
  6. Step 6: Final answer
    x = 716.54

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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.