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Finding the Fourth Proportional to 804.59, 1,206.57 and 388.05

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Solution

The fourth proportional to 804.59, 1,206.57 and 388.05 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.59 : 1,206.57 = 388.05 : x
  2. Step 2: Convert to fraction form
    804.59/1,206.57 = 388.05/x
  3. Step 3: Cross multiply
    804.59x = 1,206.57 × 388.05
  4. Step 4: Simplify right side
    804.59x = 468,209.49
  5. Step 5: Solve for x
    x = 468,209.49/804.59
  6. Step 6: Final answer
    x = 581.93

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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.