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Finding the Fourth Proportional to 1,588.13, 2,382.36 and 548.00

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Solution

The fourth proportional to 1,588.13, 2,382.36 and 548.00 is: 822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.13 : 2,382.36 = 548.00 : x
  2. Step 2: Convert to fraction form
    1,588.13/2,382.36 = 548.00/x
  3. Step 3: Cross multiply
    1,588.13x = 2,382.36 × 548.00
  4. Step 4: Simplify right side
    1,588.13x = 1,305,518.63
  5. Step 5: Solve for x
    x = 1,305,518.63/1,588.13
  6. Step 6: Final answer
    x = 822.05

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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.