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Finding the Fourth Proportional to 1,054.24, 1,580.26 and 360.70

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Solution

The fourth proportional to 1,054.24, 1,580.26 and 360.70 is: 540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.24 : 1,580.26 = 360.70 : x
  2. Step 2: Convert to fraction form
    1,054.24/1,580.26 = 360.70/x
  3. Step 3: Cross multiply
    1,054.24x = 1,580.26 × 360.70
  4. Step 4: Simplify right side
    1,054.24x = 570,004.49
  5. Step 5: Solve for x
    x = 570,004.49/1,054.24
  6. Step 6: Final answer
    x = 540.68

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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.