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Finding the Fourth Proportional to 1,047.23, 1,571.12 and 585.33

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Solution

The fourth proportional to 1,047.23, 1,571.12 and 585.33 is: 878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.23 : 1,571.12 = 585.33 : x
  2. Step 2: Convert to fraction form
    1,047.23/1,571.12 = 585.33/x
  3. Step 3: Cross multiply
    1,047.23x = 1,571.12 × 585.33
  4. Step 4: Simplify right side
    1,047.23x = 919,618.69
  5. Step 5: Solve for x
    x = 919,618.69/1,047.23
  6. Step 6: Final answer
    x = 878.15

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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.