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Finding the Fourth Proportional to 1,207.84, 1,811.98 and 386.02

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Solution

The fourth proportional to 1,207.84, 1,811.98 and 386.02 is: 579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.84 : 1,811.98 = 386.02 : x
  2. Step 2: Convert to fraction form
    1,207.84/1,811.98 = 386.02/x
  3. Step 3: Cross multiply
    1,207.84x = 1,811.98 × 386.02
  4. Step 4: Simplify right side
    1,207.84x = 699,460.52
  5. Step 5: Solve for x
    x = 699,460.52/1,207.84
  6. Step 6: Final answer
    x = 579.10

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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.