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Finding the Fourth Proportional to 1,095.44, 1,632.58 and 1,032.24

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Solution

The fourth proportional to 1,095.44, 1,632.58 and 1,032.24 is: 1,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.44 : 1,632.58 = 1,032.24 : x
  2. Step 2: Convert to fraction form
    1,095.44/1,632.58 = 1,032.24/x
  3. Step 3: Cross multiply
    1,095.44x = 1,632.58 × 1,032.24
  4. Step 4: Simplify right side
    1,095.44x = 1,685,214.38
  5. Step 5: Solve for x
    x = 1,685,214.38/1,095.44
  6. Step 6: Final answer
    x = 1,538.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.