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Finding the Fourth Proportional to 1,091.18, 1,636.58 and 360.76

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Solution

The fourth proportional to 1,091.18, 1,636.58 and 360.76 is: 541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.18 : 1,636.58 = 360.76 : x
  2. Step 2: Convert to fraction form
    1,091.18/1,636.58 = 360.76/x
  3. Step 3: Cross multiply
    1,091.18x = 1,636.58 × 360.76
  4. Step 4: Simplify right side
    1,091.18x = 590,412.60
  5. Step 5: Solve for x
    x = 590,412.60/1,091.18
  6. Step 6: Final answer
    x = 541.08

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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.