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Finding the Fourth Proportional to 1,141.32, 1,572.24 and 1,022.52

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Solution

The fourth proportional to 1,141.32, 1,572.24 and 1,022.52 is: 1,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.32 : 1,572.24 = 1,022.52 : x
  2. Step 2: Convert to fraction form
    1,141.32/1,572.24 = 1,022.52/x
  3. Step 3: Cross multiply
    1,141.32x = 1,572.24 × 1,022.52
  4. Step 4: Simplify right side
    1,141.32x = 1,607,646.84
  5. Step 5: Solve for x
    x = 1,607,646.84/1,141.32
  6. Step 6: Final answer
    x = 1,408.59

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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.