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Finding the Fourth Proportional to 1,054.01, 1,580.81 and 360.60

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Solution

The fourth proportional to 1,054.01, 1,580.81 and 360.60 is: 540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.01 : 1,580.81 = 360.60 : x
  2. Step 2: Convert to fraction form
    1,054.01/1,580.81 = 360.60/x
  3. Step 3: Cross multiply
    1,054.01x = 1,580.81 × 360.60
  4. Step 4: Simplify right side
    1,054.01x = 570,038.28
  5. Step 5: Solve for x
    x = 570,038.28/1,054.01
  6. Step 6: Final answer
    x = 540.83

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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.