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Finding the Fourth Proportional to 792.02, 1,187.83 and 304.81

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Solution

The fourth proportional to 792.02, 1,187.83 and 304.81 is: 457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.02 : 1,187.83 = 304.81 : x
  2. Step 2: Convert to fraction form
    792.02/1,187.83 = 304.81/x
  3. Step 3: Cross multiply
    792.02x = 1,187.83 × 304.81
  4. Step 4: Simplify right side
    792.02x = 362,062.46
  5. Step 5: Solve for x
    x = 362,062.46/792.02
  6. Step 6: Final answer
    x = 457.14

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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.