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Finding the Fourth Proportional to 833.28, 1,149.80 and 479.22

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Solution

The fourth proportional to 833.28, 1,149.80 and 479.22 is: 661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.28 : 1,149.80 = 479.22 : x
  2. Step 2: Convert to fraction form
    833.28/1,149.80 = 479.22/x
  3. Step 3: Cross multiply
    833.28x = 1,149.80 × 479.22
  4. Step 4: Simplify right side
    833.28x = 551,004.76
  5. Step 5: Solve for x
    x = 551,004.76/833.28
  6. Step 6: Final answer
    x = 661.25

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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.