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Finding the Fourth Proportional to 792.57, 1,188.36 and 305.40

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Solution

The fourth proportional to 792.57, 1,188.36 and 305.40 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.57 : 1,188.36 = 305.40 : x
  2. Step 2: Convert to fraction form
    792.57/1,188.36 = 305.40/x
  3. Step 3: Cross multiply
    792.57x = 1,188.36 × 305.40
  4. Step 4: Simplify right side
    792.57x = 362,925.14
  5. Step 5: Solve for x
    x = 362,925.14/792.57
  6. Step 6: Final answer
    x = 457.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.