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Finding the Fourth Proportional to 1,184.09, 1,775.88 and 362.12

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Solution

The fourth proportional to 1,184.09, 1,775.88 and 362.12 is: 543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.09 : 1,775.88 = 362.12 : x
  2. Step 2: Convert to fraction form
    1,184.09/1,775.88 = 362.12/x
  3. Step 3: Cross multiply
    1,184.09x = 1,775.88 × 362.12
  4. Step 4: Simplify right side
    1,184.09x = 643,072.79
  5. Step 5: Solve for x
    x = 643,072.79/1,184.09
  6. Step 6: Final answer
    x = 543.10

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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.