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Finding the Fourth Proportional to 1,054.30, 1,581.10 and 360.84

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Solution

The fourth proportional to 1,054.30, 1,581.10 and 360.84 is: 541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.30 : 1,581.10 = 360.84 : x
  2. Step 2: Convert to fraction form
    1,054.30/1,581.10 = 360.84/x
  3. Step 3: Cross multiply
    1,054.30x = 1,581.10 × 360.84
  4. Step 4: Simplify right side
    1,054.30x = 570,524.12
  5. Step 5: Solve for x
    x = 570,524.12/1,054.30
  6. Step 6: Final answer
    x = 541.14

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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.