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Finding the Fourth Proportional to 821.63, 1,133.95 and 467.68

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Solution

The fourth proportional to 821.63, 1,133.95 and 467.68 is: 645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.63 : 1,133.95 = 467.68 : x
  2. Step 2: Convert to fraction form
    821.63/1,133.95 = 467.68/x
  3. Step 3: Cross multiply
    821.63x = 1,133.95 × 467.68
  4. Step 4: Simplify right side
    821.63x = 530,323.40
  5. Step 5: Solve for x
    x = 530,323.40/821.63
  6. Step 6: Final answer
    x = 645.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.