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Finding the Fourth Proportional to 821.30, 1,133.40 and 480.68

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Solution

The fourth proportional to 821.30, 1,133.40 and 480.68 is: 663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.30 : 1,133.40 = 480.68 : x
  2. Step 2: Convert to fraction form
    821.30/1,133.40 = 480.68/x
  3. Step 3: Cross multiply
    821.30x = 1,133.40 × 480.68
  4. Step 4: Simplify right side
    821.30x = 544,802.71
  5. Step 5: Solve for x
    x = 544,802.71/821.30
  6. Step 6: Final answer
    x = 663.34

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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.