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Finding the Fourth Proportional to 1,105.48, 1,655.82 and 693.38

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Solution

The fourth proportional to 1,105.48, 1,655.82 and 693.38 is: 1,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.48 : 1,655.82 = 693.38 : x
  2. Step 2: Convert to fraction form
    1,105.48/1,655.82 = 693.38/x
  3. Step 3: Cross multiply
    1,105.48x = 1,655.82 × 693.38
  4. Step 4: Simplify right side
    1,105.48x = 1,148,112.47
  5. Step 5: Solve for x
    x = 1,148,112.47/1,105.48
  6. Step 6: Final answer
    x = 1,038.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.