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Finding the Fourth Proportional to 1,111.36, 1,533.60 and 645.52

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Solution

The fourth proportional to 1,111.36, 1,533.60 and 645.52 is: 890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.36 : 1,533.60 = 645.52 : x
  2. Step 2: Convert to fraction form
    1,111.36/1,533.60 = 645.52/x
  3. Step 3: Cross multiply
    1,111.36x = 1,533.60 × 645.52
  4. Step 4: Simplify right side
    1,111.36x = 989,969.47
  5. Step 5: Solve for x
    x = 989,969.47/1,111.36
  6. Step 6: Final answer
    x = 890.77

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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.