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Finding the Fourth Proportional to 801.99, 1,203.50 and 554.47

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Solution

The fourth proportional to 801.99, 1,203.50 and 554.47 is: 832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.99 : 1,203.50 = 554.47 : x
  2. Step 2: Convert to fraction form
    801.99/1,203.50 = 554.47/x
  3. Step 3: Cross multiply
    801.99x = 1,203.50 × 554.47
  4. Step 4: Simplify right side
    801.99x = 667,303.02
  5. Step 5: Solve for x
    x = 667,303.02/801.99
  6. Step 6: Final answer
    x = 832.06

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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.