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Finding the Fourth Proportional to 1,054.29, 1,581.12 and 360.93

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Solution

The fourth proportional to 1,054.29, 1,581.12 and 360.93 is: 541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.29 : 1,581.12 = 360.93 : x
  2. Step 2: Convert to fraction form
    1,054.29/1,581.12 = 360.93/x
  3. Step 3: Cross multiply
    1,054.29x = 1,581.12 × 360.93
  4. Step 4: Simplify right side
    1,054.29x = 570,673.64
  5. Step 5: Solve for x
    x = 570,673.64/1,054.29
  6. Step 6: Final answer
    x = 541.29

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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.