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Finding the Fourth Proportional to 1,112.23, 1,534.40 and 640.01

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Solution

The fourth proportional to 1,112.23, 1,534.40 and 640.01 is: 882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.23 : 1,534.40 = 640.01 : x
  2. Step 2: Convert to fraction form
    1,112.23/1,534.40 = 640.01/x
  3. Step 3: Cross multiply
    1,112.23x = 1,534.40 × 640.01
  4. Step 4: Simplify right side
    1,112.23x = 982,028.14
  5. Step 5: Solve for x
    x = 982,028.14/1,112.23
  6. Step 6: Final answer
    x = 882.94

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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.