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Finding the Fourth Proportional to 833.02, 1,149.57 and 460.00

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Solution

The fourth proportional to 833.02, 1,149.57 and 460.00 is: 634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.02 : 1,149.57 = 460.00 : x
  2. Step 2: Convert to fraction form
    833.02/1,149.57 = 460.00/x
  3. Step 3: Cross multiply
    833.02x = 1,149.57 × 460.00
  4. Step 4: Simplify right side
    833.02x = 528,796.45
  5. Step 5: Solve for x
    x = 528,796.45/833.02
  6. Step 6: Final answer
    x = 634.80

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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.