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Finding the Fourth Proportional to 1,284, 1,925.76 and 633.60

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Solution

The fourth proportional to 1,284, 1,925.76 and 633.60 is: 950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284 : 1,925.76 = 633.60 : x
  2. Step 2: Convert to fraction form
    1,284/1,925.76 = 633.60/x
  3. Step 3: Cross multiply
    1,284x = 1,925.76 × 633.60
  4. Step 4: Simplify right side
    1,284x = 1,220,161.54
  5. Step 5: Solve for x
    x = 1,220,161.54/1,284
  6. Step 6: Final answer
    x = 950.28

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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.