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Finding the Fourth Proportional to 1,139.21, 1,571.01 and 740.99

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Solution

The fourth proportional to 1,139.21, 1,571.01 and 740.99 is: 1,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.21 : 1,571.01 = 740.99 : x
  2. Step 2: Convert to fraction form
    1,139.21/1,571.01 = 740.99/x
  3. Step 3: Cross multiply
    1,139.21x = 1,571.01 × 740.99
  4. Step 4: Simplify right side
    1,139.21x = 1,164,094.84
  5. Step 5: Solve for x
    x = 1,164,094.84/1,139.21
  6. Step 6: Final answer
    x = 1,021.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.